Relevant bibliographies by topics / Lattice quotients / Journal articles
To see the other types of publications on this topic, follow the link: Lattice quotients.

Journal articles on the topic 'Lattice quotients'

Author: Grafiati
Published: 25 May 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Lattice quotients.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Mühle, Henri. "Noncrossing Arc Diagrams, Tamari Lattices, and Parabolic Quotients of the Symmetric Group." Annals of Combinatorics 25, no. 2 (2021): 307–44. http://dx.doi.org/10.1007/s00026-021-00532-9.

Full text
Abstract:
AbstractOrdering permutations by containment of inversion sets yields a fascinating partial order on the symmetric group: the weak order. This partial order is, among other things, a semidistributive lattice. As a consequence, every permutation has a canonical representation as a join of other permutations. Combinatorially, these canonical join representations can be modeled in terms of arc diagrams. Moreover, these arc diagrams also serve as a model to understand quotient lattices of the weak order. A particularly well-behaved quotient lattice of the weak order is the well-known Tamari lattic
APA, Harvard, Vancouver, ISO, and other styles
2

Dubsky, Brendan. "Incidence Category of the Young Lattice, Injections Between Finite Sets, and Koszulity." Algebra Colloquium 28, no. 02 (2021): 195–212. http://dx.doi.org/10.1142/s1005386721000171.

Full text
Abstract:
We study the quadratic quotients of the incidence category of the Young lattice defined by the zero relations corresponding to adding two boxes to the same row, or to the same column, or both. We show that the last quotient corresponds to the Koszul dual of the original incidence category, while the first two quotients are, in a natural way, Koszul duals of each other and hence they are in particular Koszul self-dual. Both of these two quotients are known to be basic representatives in the Morita equivalence class of the category of injections between finite sets. We also present a new, rather
APA, Harvard, Vancouver, ISO, and other styles
3

Thumbakara, Rajesh K. "On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes." Journal of Mathematics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/793824.

Full text
Abstract:
Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. In this paper, we study quotients of intuitionistic fuzzy filters of an intuitionistic fuzzy coframe. The quotients of intuitionistic fuzzy filters are shown to be filters of the given intuitionistic fuzzy coframe. It is shown that the collection of all intuitionistic fuzzy filters of a coframe and the collection of all intutionistic fuzzy quotient filters of an intuitionistic fuzzy filter are coframes.
APA, Harvard, Vancouver, ISO, and other styles
4

Alvarado-García, Alejandro, César Cejudo-Castilla, Hugo Alberto Rincón-Mejía, and Ivan Fernando Vilchis-Montalvo. "Pseudocomplements and strong pseudocomplements in lattices of module classes." Journal of Algebra and Its Applications 17, no. 01 (2018): 1850016. http://dx.doi.org/10.1142/s0219498818500160.

Full text
Abstract:
In this work, we consider the existence and construction of pseudocomplements in some lattices of module classes. The classes of modules belonging to these lattices are defined via closure under operations such as taking submodules, quotients, extensions, injective hulls, direct sums or products. We characterize the rings for which the lattices [Formula: see text]-tors (of hereditary torsion classes), [Formula: see text]-nat (the lattice of natural classes) and [Formula: see text]-conat (the lattice of conatural classes) coincide.
APA, Harvard, Vancouver, ISO, and other styles
5

Wójtowicz, Marek. "The lattice-isometric copies ofℓ∞(Γ)in quotients of Banach lattices". International Journal of Mathematics and Mathematical Sciences 2003, № 47 (2003): 3003–6. http://dx.doi.org/10.1155/s0161171203210528.

Full text
Abstract:
LetEbe a Banach lattice and letMbe a norm-closed and Dedekindσ-complete ideal ofE. IfEcontains a lattice-isometric copy ofℓ∞, thenE/Mcontains such a copy as well, orMcontains a lattice copy ofℓ∞. This is one of the consequences of more general results presented in this paper.
APA, Harvard, Vancouver, ISO, and other styles
6

Pilaud, Vincent. "Brick polytopes, lattice quotients, and Hopf algebras." Journal of Combinatorial Theory, Series A 155 (April 2018): 418–57. http://dx.doi.org/10.1016/j.jcta.2017.11.014.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Ma, Jingjing, and R. H. Redfield. "Fields of quotients of lattice-ordered domains." algebra universalis 52, no. 4 (2005): 383–401. http://dx.doi.org/10.1007/s00012-004-1875-z.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Demonet, Laurent, Osamu Iyama, Nathan Reading, Idun Reiten та Hugh Thomas. "Lattice theory of torsion classes: Beyond 𝜏-tilting theory". Transactions of the American Mathematical Society, Series B 10, № 18 (2023): 542–612. http://dx.doi.org/10.1090/btran/100.

Full text
Abstract:
The aim of this paper is to establish a lattice theoretical framework to study the partially ordered set t o r s A \mathsf {tors} A of torsion classes over a finite-dimensional algebra A A . We show that t o r s A \mathsf {tors} A is a complete lattice which enjoys very strong properties, as bialgebraicity and complete semidistributivity. Thus its Hasse quiver carries the important part of its structure, and we introduce the brick labelling of its Hasse quiver and use it to study lattice congruences of t o r s A \mathsf {tors} A . In particular, we give a representation-theoretical interpretat
APA, Harvard, Vancouver, ISO, and other styles
9

KAKARIADIS, EVGENIOS T. A. "Finite-dimensional approximations for Nica–Pimsner algebras." Ergodic Theory and Dynamical Systems 40, no. 12 (2019): 3375–402. http://dx.doi.org/10.1017/etds.2019.44.

Full text
Abstract:
We give necessary and sufficient conditions for nuclearity of Cuntz–Nica–Pimsner algebras for a variety of quasi-lattice ordered groups. First we deal with the free abelian lattice case. We use this as a stepping-stone to tackle product systems over quasi-lattices that are controlled by the free abelian lattice and satisfy a minimality property. Our setting accommodates examples like the Baumslag–Solitar lattice for $n=m>0$ and the right-angled Artin groups. More generally, the class of quasi-lattices for which our results apply is closed under taking semi-direct and graph products. In the
APA, Harvard, Vancouver, ISO, and other styles
10

Jenča, G., and S. Pulmannová. "Ideals and quotients in lattice ordered effect algebras." Soft Computing 5, no. 5 (2001): 376–80. http://dx.doi.org/10.1007/s005000100139.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

Dermenjian, Aram, Christophe Hohlweg, and Vincent Pilaud. "The facial weak order and its lattice quotients." Transactions of the American Mathematical Society 370, no. 2 (2017): 1469–507. http://dx.doi.org/10.1090/tran/7307.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

MEINEL, JOANNA, and CATHARINA STROPPEL. "GOLDIE RANK OF PRIMITIVE QUOTIENTS VIA LATTICE POINT ENUMERATION." Glasgow Mathematical Journal 55, A (2013): 149–68. http://dx.doi.org/10.1017/s0017089513000566.

Full text
Abstract:
AbstractLet k be an algebraically closed field of characteristic zero. I. M. Musson and M. Van den Bergh (Mem. Amer. Math. Soc., vol. 136, 1998, p. 650) classify primitive ideals for rings of torus invariant differential operators. This classification applies in particular to subquotients of localized extended Weyl algebras $\mathcal{A}_{r,n-r}=k[x_1,\ldots,x_r,x_{r+1}^{\pm1}, \ldots, x_{n}^{\pm1},\partial_1,\ldots,\partial_n],$ where it can be made explicit in terms of convex geometry. We recall these results and then turn to the corresponding primitive quotients and study their Goldie ranks.
APA, Harvard, Vancouver, ISO, and other styles
13

Wilson, S. M. J. "The isomorphism class of a set of lattices." Mathematical Proceedings of the Cambridge Philosophical Society 105, no. 2 (1989): 197–210. http://dx.doi.org/10.1017/s0305004100067682.

Full text
Abstract:
AbstractLet R be a Dedekind domain with field of quotients K. Let A be a finite-dimensional K-algebra. We consider isomorphism classes and genera in a category whose objects are indexed sets of full R-lattices in some ambient A-module and whose morphisms are the A-homomorphisms of the ambient A-modules which map each lattice into its corresponding lattice. We find conditions under which the stable A-isomorphism class of one particular lattice in an indexed set will determine the stable class of the indexed set within its genus. We apply our methods to show that if L/K is a tame Galois extensio
APA, Harvard, Vancouver, ISO, and other styles
14

Darnel, Michael R. "Value quotients and product torsion classes of lattice-ordered groups." Algebra universalis 60, no. 4 (2009): 405–23. http://dx.doi.org/10.1007/s00012-009-2111-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
15

Deitmar, Anton, and Werner Hoffman. "Spectral Estimates for Towers of Noncompact Quotients." Canadian Journal of Mathematics 51, no. 2 (1999): 266–93. http://dx.doi.org/10.4153/cjm-1999-014-3.

Full text
Abstract:
AbstractWe prove a uniform upper estimate on the number of cuspidal eigenvalues of the Γ-automorphic Laplacian below a given bound when Γ varies in a family of congruence subgroups of a given reductive linear algebraic group. Each Γ in the family is assumed to contain a principal congruence subgroup whose index in Γ does not exceed a fixed number. The bound we prove depends linearly on the covolume of Γ and is deduced from the analogous result about the cut-off Laplacian. The proof generalizes the heat-kernel method which has been applied by Donnelly in the case of a fixed lattice Γ.
APA, Harvard, Vancouver, ISO, and other styles
16

Liao, Benben. "Strong Banach property (T) for simple algebraic groups of higher rank." Journal of Topology and Analysis 06, no. 01 (2014): 75–105. http://dx.doi.org/10.1142/s1793525314500010.

Full text
Abstract:
We extend Vincent Lafforgue's results to Sp4. As applications, the family of expanders constructed by finite quotients of a lattice in such a group does not admit a uniform embedding in any Banach space of type > 1, and any affine isometric action of such a group, or of any cocompact lattice in it, in a Banach space of type > 1 has a fixed point.
APA, Harvard, Vancouver, ISO, and other styles
17

Düzlü, Samed, and Juliane Krämer. "Application of automorphic forms to lattice problems." Journal of Mathematical Cryptology 16, no. 1 (2022): 156–97. http://dx.doi.org/10.1515/jmc-2021-0045.

Full text
Abstract:
Abstract In this article, we propose a new approach to the study of lattice problems used in cryptography. We specifically focus on module lattices of a fixed rank over some number field. An essential question is the hardness of certain computational problems on such module lattices, as the additional structure may allow exploitation. The fundamental insight is the fact that the collection of those lattices are quotients of algebraic manifolds by arithmetic subgroups. Functions in these spaces are studied in mathematics as part of the number theory. In particular, those form a module over the
APA, Harvard, Vancouver, ISO, and other styles
18

Giraudet, M., and J. K. Truss. "Recovering ordered structures from quotients of their automorphism groups." Journal of Symbolic Logic 68, no. 4 (2003): 1189–98. http://dx.doi.org/10.2178/jsl/1067620181.

Full text
Abstract:
AbstractWe show that the ‘tail’ of a doubly homogeneous chain of countable cofinality can be recognized in the quotient of its automorphism group by the subgroup consisting of those elements whose support is bounded above. This extends the authors' earlier result establishing this for the rationals and reals. We deduce that any group is isomorphic to the outer automorphism group of some simple lattice-ordered group.
APA, Harvard, Vancouver, ISO, and other styles
19

MARGULIS, GREGORY A., and NANTIAN QIAN. "Rigidity of weakly hyperbolic actions of higher real rank semisimple Lie groups and their lattices." Ergodic Theory and Dynamical Systems 21, no. 1 (2001): 121–64. http://dx.doi.org/10.1017/s0143385701001109.

Full text
Abstract:
Under some weak hyperbolicity conditions, we establish C^0- and C^\infty-local rigidity theorems for two classes of standard algebraic actions: (1) left translation actions of higher real rank semisimple Lie groups and their lattices on quotients of Lie groups by uniform lattices; (2) higher rank lattice actions on nilmanifolds by affine diffeomorphisms. The proof relies on an observation that local rigidity of the standard actions is a consequence of the local rigidity of some constant cocycles. The C^0-local rigidity for weakly hyperbolic standard actions follows from a cocycle C^0-local rig
APA, Harvard, Vancouver, ISO, and other styles
20

Momot, Aleksander. "On Modular Ball-Quotient Surfaces of Kodaira Dimension One." ISRN Geometry 2011 (June 19, 2011): 1–5. http://dx.doi.org/10.5402/2011/214853.

Full text
Abstract:
Let be a lattice which is not co-ompact, of finite covolume with respect to the Bergman metric and acting freely on the open unit ball . Then the toroidal compactification is a projective smooth surface with elliptic compactification divisor . In this short note we discover a new class of unramifed ball quotients . We consider ball quotients with kod and . We prove that each minimal surface with finite Mordell-Weil group in the class described admits an étale covering which is a pull-back of . Here denotes the elliptic modular surface parametrizing elliptic curves with 6-torsion points which g
APA, Harvard, Vancouver, ISO, and other styles
21

Perera, Francesc. "Ideal Structure of Multiplier Algebras of Simple C*-algebras With Real Rank Zero." Canadian Journal of Mathematics 53, no. 3 (2001): 592–630. http://dx.doi.org/10.4153/cjm-2001-025-2.

Full text
Abstract:
AbstractWe give a description of the monoid of Murray-von Neumann equivalence classes of projections for multiplier algebras of a wide class of σ-unital simple C*-algebras A with real rank zero and stable rank one. The lattice of ideals of this monoid, which is known to be crucial for understanding the ideal structure of themultiplier algebra , is therefore analyzed. In important cases it is shown that, if A has finite scale then the quotient of modulo any closed ideal I that properly contains A has stable rank one. The intricacy of the ideal structure of is reflected in the fact that can have
APA, Harvard, Vancouver, ISO, and other styles
22

Conder, Marston. "Two new proofs of the fact that triangle groups are distinguished by their finite quotients." New Zealand Journal of Mathematics 52 (March 3, 2022): 827–44. http://dx.doi.org/10.53733/193.

Full text
Abstract:
In a 2016 paper by Alan Reid, Martin Bridson and the author, it was shown using the theory of profinite groups that if $\Gamma$ is a finitely-generated Fuchsian group and $\Sigma$ is a lattice in a connected Lie group, such that $\Gamma$ and $\Sigma$ have exactly the same finite quotients, then $\Gamma$ is isomorphic to $\Sigma$. As a consequence, two triangle groups $\Delta(r,s,t)$ and $\Delta(u,v,w)$ have the same finite quotients if and only if $(u,v,w)$ is a permutation of $(r,s,t)$. A direct proof of this property of triangle groups was given in the final section of that paper, with the p
APA, Harvard, Vancouver, ISO, and other styles
23

Kasparian, Azniv. "Projective Embeddings of Ball Quotients, Birational to a Bi-elliptic Surface." Proceedings of the Bulgarian Academy of Sciences 76, no. 1 (2023): 3–11. http://dx.doi.org/10.7546/crabs.2023.01.01.

Full text
Abstract:
For a neat lattice $$\Gamma < SU(1,2)$$, whose quotient $${\mathbb B} / \Gamma$$ is birational to a bi-elliptic surface, we compute the dimensions of the cuspidal $$\Gamma$$-modular forms $$[ \Gamma,n]_o$$ and all modular forms $$[ \Gamma, n]$$ of weight $$n \geq 2. $$ The work provides a sufficient condition for a subspace $$V \subset [ \Gamma, n]$$ to determine a regular projective embedding of the Baily-Borel compactification $$\widehat{ {\mathbb B} / \Gamma}$$ and applies this criterion to a specific example.
APA, Harvard, Vancouver, ISO, and other styles
24

BUENGER, C. DAVIS, and CHENG ZHENG. "Non-divergence of unipotent flows on quotients of rank-one semisimple groups." Ergodic Theory and Dynamical Systems 37, no. 1 (2015): 103–28. http://dx.doi.org/10.1017/etds.2015.43.

Full text
Abstract:
Let$G$be a semisimple Lie group of rank one and$\unicode[STIX]{x1D6E4}$be a torsion-free discrete subgroup of$G$. We show that in$G/\unicode[STIX]{x1D6E4}$, given$\unicode[STIX]{x1D716}>0$, any trajectory of a unipotent flow remains in the set of points with injectivity radius larger than$\unicode[STIX]{x1D6FF}$for a$1-\unicode[STIX]{x1D716}$proportion of the time, for some$\unicode[STIX]{x1D6FF}>0$. The result also holds for any finitely generated discrete subgroup$\unicode[STIX]{x1D6E4}$and this generalizes Dani’s quantitative non-divergence theorem [On orbits of unipotent flows on hom
APA, Harvard, Vancouver, ISO, and other styles
25

Fabbri, Marc A., and Frank Okoh. "Representations of Virasoro-Heisenberg Algebras and Virasoro-Toroidal Algebras." Canadian Journal of Mathematics 51, no. 3 (1999): 523–45. http://dx.doi.org/10.4153/cjm-1999-024-x.

Full text
Abstract:
AbstractVirasoro-toroidal algebras, , are semi-direct products of toroidal algebras and the Virasoro algebra. The toroidal algebras are, in turn, multi-loop versions of affine Kac-Moody algebras. Let Γ be an extension of a simply laced lattice by a hyperbolic lattice of rank two. There is a Fock space V(Γ) corresponding to Γ with a decomposition as a complex vector space: V(Γ) = . Fabbri and Moody have shown that when m ≠ 0, K(m) is an irreducible representation of . In this paper we produce a filtration of -submodules of K(0). When L is an arbitrary geometric lattice and n is a positive integ
APA, Harvard, Vancouver, ISO, and other styles
26

Garbagnati, Alice. "On K3 Surface Quotients of K3 or Abelian Surfaces." Canadian Journal of Mathematics 69, no. 02 (2017): 338–72. http://dx.doi.org/10.4153/cjm-2015-058-1.

Full text
Abstract:
Abstract The aim of this paper is to prove that a K3 surface is the minimal model of the quotient of an Abelian surface by a group G (respectively of a K3 surface by an Abelian group G) if and only if a certain lattice is primitively embedded in its Néron-Severi group. This allows one to describe the coarse moduli space of the K3 surfaces that are (rationally) G-covered by Abelian or K3 surfaces (in the latter case G is an Abelian group). When G has order 2 or G is cyclic and acts on an Abelian surface, this result is already known; we extend it to the other cases. Moreover, we prove that a K3
APA, Harvard, Vancouver, ISO, and other styles
27

Matsumoto, Kengo. "C*-algebras associated with presentations of subshifts ii. ideal structure and lambda-graph subsystems." Journal of the Australian Mathematical Society 81, no. 3 (2006): 369–85. http://dx.doi.org/10.1017/s1446788700014373.

Full text
Abstract:
AbstractA λ-graph system is a labeled Bratteli diagram with shift transformation. It is a generalization of finite labeled graphs and presents a subshift. InDoc. Math.7 (2002) 1–30, the author constructed aC*-algebraO£associated with a λ-graph system £ from a graph theoretic view-point. If a λ-graph system comes from a finite labeled graph, the algebra becomes a Cuntz-Krieger algebra. In this paper, we prove that there is a bijective correspondence between the lattice of all saturated hereditary subsets of £ and the lattice of all ideals of the algebraO£, under a certain condition on £ called
APA, Harvard, Vancouver, ISO, and other styles
28

Beshkov, Pancho, Azniv Kasparian, and Gregory Sankaran. "Saturated and primitive smooth compactifications of ball quotients." Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics 106 (December 12, 2019): 53–77. http://dx.doi.org/10.60063/gsu.fmi.106.53-77.

Full text
Abstract:
Let $X = ( {\mathbb B} / \Gamma)'$ be a smooth toroidal compactification of a quotient of the complex $2$-ball ${\mathbb B} = {\rm PSU} _{2,1} / {\rm PS} (U_2 \times U_1)$ by a lattice $\Gamma < {\rm PSU} _{2,1}$, $D := X \setminus ( \mathbb{B} /\Gamma)$ be the toroidal compactifying divisor of $X$, $\rho : X \rightarrow Y$ be a finite composition of blow downs to a minimal surface $Y$ and $E(\rho)$ be the exceptional divisor of $\rho$. The present article establishes a bijective correspondence between the finite unramified coverings of ordered triples $(X, D, E)$ and the finite unramified
APA, Harvard, Vancouver, ISO, and other styles
29

Mok, Ngaiming. "Zariski closures of images of algebraic subsets under the uniformization map on finite-volume quotients of the complex unit ball." Compositio Mathematica 155, no. 11 (2019): 2129–49. http://dx.doi.org/10.1112/s0010437x19007577.

Full text
Abstract:
We prove the analogue of the Ax–Lindemann–Weierstrass theorem for not necessarily arithmetic lattices of the automorphism group of the complex unit ball $\mathbb{B}^{n}$ using methods of several complex variables, algebraic geometry and Kähler geometry. Consider a torsion-free lattice $\unicode[STIX]{x1D6E4}\,\subset \,\text{Aut}(\mathbb{B}^{n})$ and the associated uniformization map $\unicode[STIX]{x1D70B}:\mathbb{B}^{n}\rightarrow \mathbb{B}^{n}/\unicode[STIX]{x1D6E4}=:X_{\unicode[STIX]{x1D6E4}}$. Given an algebraic subset $S\,\subset \,\mathbb{B}^{n}$ and writing $Z$ for the Zariski closure
APA, Harvard, Vancouver, ISO, and other styles
30

DROSTE, MANFRED, and DIETRICH KUSKE. "Recognizable languages in divisibility monoids." Mathematical Structures in Computer Science 11, no. 6 (2001): 743–70. http://dx.doi.org/10.1017/s0960129501003395.

Full text
Abstract:
We define the class of divisibility monoids that arise as quotients of the free monoid Σ* modulo certain equations of the form ab = cd. These form a much larger class than free partially commutative monoids, and we show, under certain assumptions, that the recognizable languages in these divisibility monoids coincide with c-rational languages. The proofs rely on Ramsey's theorem, distributive lattice theory and on Hashigushi's rank function generalized to these monoids. We obtain Ochmański's theorem on recognizable languages in free partially commutative monoids as a consequence.
APA, Harvard, Vancouver, ISO, and other styles
31

GUÀRDIA, J. "EXPLICIT GEOMETRY ON A FAMILY OF CURVES OF GENUS 3." Journal of the London Mathematical Society 64, no. 2 (2001): 299–310. http://dx.doi.org/10.1112/s0024610701002538.

Full text
Abstract:
An explicit geometrical study of the curves[formula here]is presented. These are non-singular curves of genus 3, defined over ℚ(a). By exploiting their symmetries, it is possible to determine most of their geometric invariants, such as their bitangent lines and their period lattice. An explicit description is given of the bijection induced by the Abel–Jacobi map between their bitangent lines and odd 2-torsion points on their jacobian. Finally, three elliptic quotients of these curves are constructed that provide a splitting of their jacobians. In the case of the curve [Cscr ]1±√2, which is iso
APA, Harvard, Vancouver, ISO, and other styles
32

Ayyer, Arvind, Anne Schilling, Benjamin Steinberg, and Nicolas M. Thiéry. "Markov chains, ${\mathscr R}$-trivial monoids and representation theory." International Journal of Algebra and Computation 25, no. 01n02 (2015): 169–231. http://dx.doi.org/10.1142/s0218196715400081.

Full text
Abstract:
We develop a general theory of Markov chains realizable as random walks on [Formula: see text]-trivial monoids. It provides explicit and simple formulas for the eigenvalues of the transition matrix, for multiplicities of the eigenvalues via Möbius inversion along a lattice, a condition for diagonalizability of the transition matrix and some techniques for bounding the mixing time. In addition, we discuss several examples, such as Toom–Tsetlin models, an exchange walk for finite Coxeter groups, as well as examples previously studied by the authors, such as nonabelian sandpile models and the pro
APA, Harvard, Vancouver, ISO, and other styles
33

YEUNG, SAI-KEE. "INTEGRALITY AND ARITHMETICITY OF CO-COMPACT LATTICE CORRESPONDING TO CERTAIN COMPLEX TWO-BALL QUOTIENTS OF PICARD NUMBER ONE." Asian Journal of Mathematics 8, no. 1 (2004): 107–30. http://dx.doi.org/10.4310/ajm.2004.v8.n1.a9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
34

KAUFMANN, RALPH M. "PATH SPACE DECOMPOSITIONS FOR THE VIRASORO ALGEBRA AND ITS VERMA MODULES." International Journal of Modern Physics A 10, no. 07 (1995): 943–61. http://dx.doi.org/10.1142/s0217751x95000462.

Full text
Abstract:
Starting from a detailed analysis of the structure of path spaces of the [Formula: see text] fusion graphs and the corresponding irreducible Virasoro algebra quotients V(c, h) for the (2, q odd) models, we introduce the notion of an admissible path space representation. The path spaces [Formula: see text] over the [Formula: see text] graphs are isomorphic to the path spaces over Coxeter A graphs that appear in FB models. We give explicit construction algorithms for admissible representations. From the finite-dimensional results of these algorithms we derive a decomposition of V(c, h) into its
APA, Harvard, Vancouver, ISO, and other styles
35

HEERSINK, BYRON. "Equidistribution of Farey sequences on horospheres in covers of and applications." Ergodic Theory and Dynamical Systems 41, no. 2 (2019): 471–93. http://dx.doi.org/10.1017/etds.2019.71.

Full text
Abstract:
We establish the limiting distribution of certain subsets of Farey sequences, i.e., sequences of primitive rational points, on expanding horospheres in covers $\unicode[STIX]{x1D6E5}\backslash \text{SL}(n+1,\mathbb{R})$ of $\text{SL}(n+1,\mathbb{Z})\backslash \text{SL}(n+1,\mathbb{R})$, where $\unicode[STIX]{x1D6E5}$ is a finite-index subgroup of $\text{SL}(n+1,\mathbb{Z})$. These subsets can be obtained by projecting to the hyperplane $\{(x_{1},\ldots ,x_{n+1})\in \mathbb{R}^{n+1}:x_{n+1}=1\}$ sets of the form $\mathbf{A}=\bigcup _{j=1}^{J}\mathbf{a}_{j}\unicode[STIX]{x1D6E5}$, where for all
APA, Harvard, Vancouver, ISO, and other styles
36

Dan, Christina-Theresia. "A Connection Between the Reticulation of a Ring of Quotients and the Localization Lattice of the Reticulation of a Commutative Ring." Communications in Algebra 35, no. 6 (2007): 1783–807. http://dx.doi.org/10.1080/00927870701246502.

Full text
APA, Harvard, Vancouver, ISO, and other styles
37

Sorbi, Andrea. "Some Quotient Lattices of the Medvedev Lattice." Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 37, no. 9-12 (1991): 167–82. http://dx.doi.org/10.1002/malq.19910370905.

Full text
APA, Harvard, Vancouver, ISO, and other styles
38

MALONEY, GREGORY R., and DAN RUST. "Beyond primitivity for one-dimensional substitution subshifts and tiling spaces." Ergodic Theory and Dynamical Systems 38, no. 3 (2016): 1086–117. http://dx.doi.org/10.1017/etds.2016.58.

Full text
Abstract:
We study the topology and dynamics of subshifts and tiling spaces associated to non-primitive substitutions in one dimension. We identify a property of a substitution, which we call tameness, in the presence of which most of the possible pathological behaviours of non-minimal substitutions cannot occur. We find a characterization of tameness, and use this to prove a slightly stronger version of a result of Durand, which says that the subshift of a minimal substitution is topologically conjugate to the subshift of a primitive substitution. We then extend to the non-minimal setting a result obta
APA, Harvard, Vancouver, ISO, and other styles
39

Bootland, Carl, Wouter Castryck, Alan Szepieniec, and Frederik Vercauteren. "A framework for cryptographic problems from linear algebra." Journal of Mathematical Cryptology 14, no. 1 (2020): 202–17. http://dx.doi.org/10.1515/jmc-2019-0032.

Full text
Abstract:
AbstractWe introduce a general framework encompassing the main hard problems emerging in lattice-based cryptography, which naturally includes the recently proposed Mersenne prime cryptosystem, but also problems coming from code-based cryptography. The framework allows to easily instantiate new hard problems and to automatically construct plausibly post-quantum secure primitives from them. As a first basic application, we introduce two new hard problems and the corresponding encryption schemes. Concretely, we study generalisations of hard problems such as SIS, LWE and NTRU to free modules over
APA, Harvard, Vancouver, ISO, and other styles
40

de Pagter, Ben, and Anthony W. Wickstead. "Free and projective Banach lattices." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 145, no. 1 (2015): 105–43. http://dx.doi.org/10.1017/s0308210512001709.

Full text
Abstract:
We define and prove the existence of free Banach lattices in the category of Banach lattices and contractive lattice homomorphisms, and establish some of their fundamental properties. We give much more detailed results about their structure in the case when there are only a finite number of generators, and give several Banach lattice characterizations of the number of generators being, respectively, one, finite or countable. We define a Banach lattice P to be projective if, whenever X is a Banach lattice, J is a closed ideal in X, Q : X → X/J is the quotient map, T : P → X/J is a linear lattic
APA, Harvard, Vancouver, ISO, and other styles
41

Futa, Yuichi, Hiroyuki Okazaki, and Yasunari Shidama. "Quotient Module of Z-module." Formalized Mathematics 20, no. 3 (2012): 205–14. http://dx.doi.org/10.2478/v10037-012-0024-y.

Full text
Abstract:
Summary In this article we formalize a quotient module of Z-module and a vector space constructed by the quotient module. We formally prove that for a Z-module V and a prime number p, a quotient module V/pV has the structure of a vector space over Fp. Z-module is necessary for lattice problems, LLL (Lenstra, Lenstra and Lov´asz) base reduction algorithm and cryptographic systems with lattices [14]. Some theorems in this article are described by translating theorems in [20] and [19] into theorems of Z-module.
APA, Harvard, Vancouver, ISO, and other styles
42

Saeid, Arsham Borumand, and Roghayeh Koohnavard. "On residuated skew lattices." Analele Universitatii "Ovidius" Constanta - Seria Matematica 27, no. 1 (2019): 245–68. http://dx.doi.org/10.2478/auom-2019-0013.

Full text
Abstract:
Abstract In this paper, we define residuated skew lattice as non-commutative generalization of residuated lattice and investigate its properties. We show that Green’s relation 𝔻 is a congruence relation on residuated skew lattice and its quotient algebra is a residuated lattice. Deductive system and skew deductive system in residuated skew lattices are defined and relationships between them are given and proved. We define branchwise residuated skew lattice and show that a conormal distributive residuated skew lattice is equivalent with a branchwise residuated skew lattice under a condition.
APA, Harvard, Vancouver, ISO, and other styles
43

Holdon, Liviu-Constantin, and Arsham Borumand Saeid. "Ideals of Residuated Lattices." Studia Scientiarum Mathematicarum Hungarica 58, no. 2 (2021): 182–205. http://dx.doi.org/10.1556/012.2021.58.2.1493.

Full text
Abstract:
In this article, we study ideals in residuated lattice and present a characterization theorem for them. We investigate some related results between the obstinate ideals and other types of ideals of a residuated lattice, likeness Boolean, primary, prime, implicative, maximal and ʘ-prime ideals. Characterization theorems and extension property for obstinate ideal are stated and proved. For the class of ʘ-residuated lattices, by using the ʘ-prime ideals we propose a characterization, and prove that an ideal is an ʘ-prime ideal iff its quotient algebra is an ʘ-residuated lattice. Finally, by using
APA, Harvard, Vancouver, ISO, and other styles
44

Ball, Richard N., and Anthony W. Hager. "Epicompletetion of archimedean l–groups and vector lattices with weak unit." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 48, no. 1 (1990): 25–56. http://dx.doi.org/10.1017/s1446788700035175.

Full text
Abstract:
AbstractIn the category W of archimedean l–groups with distinguished weak order unit, with unitpreserving l–homorphism, let B be the class of W-objects of the form D(X), with X basically disconnected, or, what is the same thing (we show), the W-objects of the M/N, where M is a vector lattice of measurable functions and N is an abstract ideal of null functions. In earlier work, we have characterized the epimorphisms in W, and shown that an object G is epicomplete (that is, has no proper epic extension) if and only if G ∈ B. This describes the epicompletetions of a give G (that is, epicomplete o
APA, Harvard, Vancouver, ISO, and other styles
45

Stewart, Ian. "Exotic Patterns of Synchrony in Planar Lattice Networks." International Journal of Bifurcation and Chaos 29, no. 02 (2019): 1930003. http://dx.doi.org/10.1142/s0218127419300039.

Full text
Abstract:
Patterns of dynamical synchrony that can occur robustly in networks of coupled dynamical systems are associated with balanced colorings of the nodes of the network. In symmetric networks, the orbits of any group of symmetries automatically determine a balanced orbit coloring. Balanced colorings not of this kind are said to be exotic. Exotic colorings occur in infinite planar lattices, both square and hexagonal, with various short-range couplings. In some cases, a balanced two-coloring remains balanced when colors are swapped along suitable diagonals, giving rise to uncountably many distinct ex
APA, Harvard, Vancouver, ISO, and other styles
46

Piciu, Dana, Christina Theresia Dan, and Florentina Chirteş. "Some decompositions of filters in residuated lattices." Analele Universitatii "Ovidius" Constanta - Seria Matematica 27, no. 1 (2019): 211–31. http://dx.doi.org/10.2478/auom-2019-0011.

Full text
Abstract:
Abstract In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize the filters for which the quotient algebra that is constructed via these filters is a residuated lattice with C→ (C∨ or C∧ or C∧&→ property). We state and prove some results which establish the relationships between these filters and other filters of residuated lattices: BL filters, MTL filters, divisible filters and, by
APA, Harvard, Vancouver, ISO, and other styles
47

ALBU, TOMA, MIHAI IOSIF, and MARK L. TEPLY. "MODULAR QFD LATTICES WITH APPLICATIONS TO GROTHENDIECK CATEGORIES AND TORSION THEORIES." Journal of Algebra and Its Applications 03, no. 04 (2004): 391–410. http://dx.doi.org/10.1142/s0219498804000939.

Full text
Abstract:
A modular lattice L with 0 and 1 is called quotient finite dimensional (QFD) if [x,1] has no infinite independent set for any x∈L. We extend some results about QFD modules to upper continuous modular lattices by using Lemonnier's Lemma. One result says that QFD for a compactly generated lattice L is equivalent to Condition (C): for every m∈L, there exists a compact element t of L such that t∈[0,m] and [t,m[ has no maximal element. If L is not compactly generated, then QFD and (C) separate into two distinct conditions, which are analyzed and characterized for upper continuous modular lattices.
APA, Harvard, Vancouver, ISO, and other styles
48

ZHAO, TIEHONG. "A minimal volume arithmetic cusped complex hyperbolic orbifold." Mathematical Proceedings of the Cambridge Philosophical Society 150, no. 2 (2010): 313–42. http://dx.doi.org/10.1017/s0305004110000526.

Full text
Abstract:
AbstractThe sister of Eisenstein–Picard modular group is described explicitly in [10], whose quotient is a noncompact arithmetic complex hyperbolic 2-orbifold of minimal volume (see [16]). We give a construction of a fundamental domain for this group. A presentation of that lattice can be obtained from that construction, which relates to one of Mostow's lattices.
APA, Harvard, Vancouver, ISO, and other styles
49

Johnson, E. W., Johnny A. Johnson, and Monty B. Taylor. "p-systems in local Noether lattices." International Journal of Mathematics and Mathematical Sciences 17, no. 4 (1994): 655–60. http://dx.doi.org/10.1155/s016117129400092x.

Full text
Abstract:
In this paper we introduce the concept of ap-system in a local Noether lattice and obtain several characterizations of these elements. We first obtain a topological characterization and then a characterization in terms of the existence of a certain type of decreasing sequence of elements. In addition,p-systems are characterized in quotient lattices and completions.
APA, Harvard, Vancouver, ISO, and other styles
50

Piciu, Dana, Christina Theresia Dan, and Anca Dina. "Gődel filters in residuated lattices." Analele Universitatii "Ovidius" Constanta - Seria Matematica 29, no. 1 (2021): 183–200. http://dx.doi.org/10.2478/auom-2021-0012.

Full text
Abstract:
Abstract In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the connections between these filters and other types of filters. Using Gődel filters we characterize the residuated lattices which are Gődel algebras. Also, we prove that a residuated lattice is a Gődel algebra (divisible residuated lattice, MTL algebra, BL algebra) if and only if every filter is a Gődel filter (divisible filter, MTL filter, B
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography