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Дисертації з теми "Noncommutative algebras"

Автор: Grafiati

Опубліковано: 4 червня 2021

Оновлено: 1 серпня 2024

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1

Rennie, Adam Charles. "Noncommutative spin geometry." Title page, contents and introduction only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09phr4163.pdf.

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2

Hartman, Gregory Neil. "Graphs and Noncommutative Koszul Algebras." Diss., Virginia Tech, 2002. http://hdl.handle.net/10919/27156.

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A new connection between combinatorics and noncommutative algebra is established by relating a certain class of directed graphs to noncommutative Koszul algebras. The directed graphs in this class are called full graphs and are defined by a set of criteria on the edges. The structural properties of full graphs are studied as they relate to the edge criteria. A method is introduced for generating a Koszul algebra Lambda from a full graph G. The properties of Lambda are examined as they relate to the structure of G, with special attention being given to the construction of a projective resoluti

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3

Schoenecker, Kevin J. "An infinite family of anticommutative algebras with a cubic form." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1187185559.

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4

Russell, Ewan. "Prime ideals in quantum algebras." Thesis, University of Edinburgh, 2009. http://hdl.handle.net/1842/3450.

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The central objects of study in this thesis are quantized coordinate algebras. These algebras originated in the 1980s in the work of Drinfeld and Jumbo and are noncommutative analogues of coordinate rings of algebraic varieties. The organic nature by which these algebras arose is of great interest to algebraists. In particular, investigating ring theoretic properties of these noncommutative algebras in comparison to the properties already known about their classical (commutative) counterparts proves to be a fruitful process. The prime spectrum of an algebra has always been seen as an important

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5

Phan, Christopher Lee 1980. "Koszul and generalized Koszul properties for noncommutative graded algebras." Thesis, University of Oregon, 2009. http://hdl.handle.net/1794/10367.

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xi, 95 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.<br>We investigate some homological properties of graded algebras. If A is an R -algebra, then E (A) := Ext A ( R, R ) is an R-algebra under the cup product and is called the Yoneda algebra. (In most cases, we assume R is a field.) A well-known and widely-studied condition on E(A) is the Koszul property. We study a class of deformations of Koszul algebras that arises from the study of equivariant cohomology and algebraic groups and show that

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6

Meyer, Jonas R. "Noncommutative Hardy algebras, multipliers, and quotients." Diss., University of Iowa, 2010. https://ir.uiowa.edu/etd/712.

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The principal objects of study in this thesis are the noncommutative Hardy algebras introduced by Muhly and Solel in 2004, also called simply ``Hardy algebras,'' and their quotients by ultraweakly closed ideals. The Hardy algebras form a class of nonselfadjoint dual operator algebras that generalize the classical Hardy algebra, the noncommutative analytic Toeplitz algebras introduced by Popescu in 1991, and other classes of operator algebras studied in the literature. It is known that a quotient of a noncommutative analytic Toeplitz algebra by a weakly closed ideal can be represented completel

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7

Uhl, Christine. "Quantum Drinfeld Hecke Algebras." Thesis, University of North Texas, 2016. https://digital.library.unt.edu/ark:/67531/metadc862764/.

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Quantum Drinfeld Hecke algebras extend both Lusztig's graded Hecke algebras and the symplectic reflection algebras of Etingof and Ginzburg to the quantum setting. A quantum (or skew) polynomial ring is generated by variables which commute only up to a set of quantum parameters. Certain finite groups may act by graded automorphisms on a quantum polynomial ring and quantum Drinfeld Hecke algebras deform the natural semi-direct product. We classify these algebras for the infinite family of complex reflection groups acting in arbitrary dimension. We also classify quantum Drinfeld Hecke algebras i

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8

Zhao, Xiangui. "Groebner-Shirshov bases in some noncommutative algebras." London Mathematical Society, 2014. http://hdl.handle.net/1993/24315.

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Groebner-Shirshov bases, introduced independently by Shirshov in 1962 and Buchberger in 1965, are powerful computational tools in mathematics, science, engineering, and computer science. This thesis focuses on the theories, algorithms, and applications of Groebner-Shirshov bases for two classes of noncommutative algebras: differential difference algebras and skew solvable polynomial rings. This thesis consists of three manuscripts (Chapters 2--4), an introductory chapter (Chapter 1) and a concluding chapter (Chapter 5). In Chapter 1, we introduce the background and the goals of the thesi

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9

Oblomkov, Alexei. "Double affine Hecke algebras and noncommutative geometry." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/31165.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.<br>Includes bibliographical references (p. 93-96).<br>In the first part we study Double Affine Hecke algebra of type An-1 which is important tool in the theory of orthogonal polynomials. We prove that the spherical subalgebra eH(t, 1)e of the Double Affine Hecke algebra H(t, 1) of type An-1 is an integral Cohen-Macaulay algebra isomorphic to the center Z of H(t, 1), and H(t, 1)e is a Cohen-Macaulay eH(t, 1)e-module with the property H(t, 1) = EndeH(t,tl)(H(t, 1)e). This implies the classification of the finite

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10

Gohm, Rolf. "Noncommutative stationary processes /." Berlin [u.a.] : Springer, 2004. http://www.loc.gov/catdir/enhancements/fy0813/2004103932-d.html.

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11

Nordstrom, Hans Erik. "Associated primes over Ore extensions and generalized Weyl algebras /." view abstract or download file of text, 2005. http://wwwlib.umi.com/cr/uoregon/fullcit?p3181118.

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Thesis (Ph. D.)--University of Oregon, 2005.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 48-49). Also available for download via the World Wide Web; free to University of Oregon users.

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12

at, grosse@doppler thp univie ac. "On a Noncommutative Deformation of the Connes--Kreimer Algebra." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1065.ps.

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13

Davies, Andrew Phillip. "Cocycle twists of algebras." Thesis, University of Manchester, 2014. https://www.research.manchester.ac.uk/portal/en/theses/cocycle-twists-of-algebras(23710bc8-abdf-4b8d-9836-111164fefc11).html.

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14

Hwang, Junho. "On the stability and moduli of noncommutative algebras." Thesis, University of British Columbia, 2016. http://hdl.handle.net/2429/57948.

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Анотація:

This dissertation studies stability of 3-dimensional quadratic AS-regular algebras and their moduli. A quadratic algebra defined by a regular triple (E, L, σ) is stable if there is no node or line component of E fixed by σ. We first prove stability of the twisted homogeneous coordinate ring B(E, L, σ), then lift stability to that of A(E, L, σ) by analyzing the central element c₃ where B = A/(c₃). We study a coarse moduli space for each type, A, B, E, H, S. S-equivalence of strictly semistable algebras is studied. We compute automorphisms of AS-regular algebras and of those that appear in the b

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15

Masmali, Ibtisam Ali. "Hopf algebra and noncommutative differential structures." Thesis, Swansea University, 2010. https://cronfa.swan.ac.uk/Record/cronfa42676.

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In this thesis I will study noncommutative differential geometry, after the style of Connes and Woronowicz. In particular two examples of differential calculi on Hopf algebras are considered, and their associated covariant derivatives and Riemannian geometry. These are on the Heisenberg group, and on the finite group A4. I consider bimodule connections after the work of Madore. In the last chapter noncommutative fibrations are considerd, with an application to the Leray spectral sequence. NOTATION. In this thesis equations are numbered as round brackets (), where (a.b) denotes equation b in ch

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16

Griesenauer, Erin. "Algebras of cross sections." Diss., University of Iowa, 2016. https://ir.uiowa.edu/etd/2086.

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My research studies algebras of holomorphic functions from $d$-tuples of $n\times n$- matrices, $M_n(\bC)^d$, to $M_n(\bC)$. In particular, I study the holomorphic functions that can be approximated by \emph{polynomial matrix concomitants}, that is polynomial maps from $M_n(\bC)^d$ to $M_n(\bC)$ that satisfy the relationship \[ f(g^{-1}\fz g) = g^{-1}f(\fz)g \] for every $\fz \in M_n(\bC)^d$ and $g\in GL_n(\bC)$. In a sense, these are the polynomial maps that “remember” the structure of the $d$-tuple $\fz$. My first result is that these holomorphic matrix concomitants can be identified with ho

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17

Brazfield, Christopher Jude. "Artin-Schelter regular algebras of global dimension 4 with two degree one generators /." view abstract or download file of text, 1999. http://wwwlib.umi.com/cr/uoregon/fullcit?p9947969.

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Thesis (Ph. D.)--University of Oregon, 1999.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 103-105). Also available for download via the World Wide Web; free to University of Oregon users. Address: http://wwwlib.umi.com/cr/uoregon/fullcit?p9947969.

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18

Brandão, Junior Antonio Pereira. "Polinomios centrais para algebras graduadas." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306381.

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Orientador: Plamen Koshlukov<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatisticas e Computação Cientifica<br>Made available in DSpace on 2018-08-07T02:02:57Z (GMT). No. of bitstreams: 1 BrandaoJunior_AntonioPereira_D.pdf: 1947392 bytes, checksum: a2dae6805cd5224410f82d2eaaa472fc (MD5) Previous issue date: 2006<br>Resumo: Neste trabalho apresentamos um estudo sobre polinômios centrais graduados e polinômios centrais com involução para algumas álgebras importantes na PI-teoria sobre corpos infinitos. Mais precisamente, descrevemos os polinômios centrai

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19

Goetz, Peter D. "The noncommutative algebraic geometry of quantum projective spaces /." view abstract or download file of text, 2003. http://wwwlib.umi.com/cr/uoregon/fullcit?p3102165.

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Thesis (Ph. D.)--University of Oregon, 2003.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 106-108). Also available for download via the World Wide Web; free to University of Oregon users.

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20

Snyman, Mathys Machiel. "Ergodic properties of noncommutative dynamical systems." Diss., University of Pretoria, 2013. http://hdl.handle.net/2263/40351.

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In this dissertation we develop aspects of ergodic theory for C*-dynamical systems for which the C*-algebras are allowed to be noncommutative. We define four ergodic properties, with analogues in classic ergodic theory, and study C*-dynamical systems possessing these properties. Our analysis will show that, as in the classical case, only certain combinations of these properties are permissable on C*-dynamical systems. In the second half of this work, we construct concrete noncommutative C*-dynamical systems having various permissable combinations of the ergodic properties. This shows

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21

Vitoria, Jorge. "Categorical and geometric aspects of noncommutative algebras : mutations, tails and perversities." Thesis, University of Warwick, 2010. http://wrap.warwick.ac.uk/35651/.

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This thesis concerns some interactions between algebraic geometry and noncommutative algebra in a categorical language. This interplay allows noncommutative constructions of geometric motivation and we explore their structure. In chapters 1 and 2 we survey the main ideas, contextualising this area and introducing the main concepts and results used later in the thesis. These include Morita theory for derived categories, tilting t-structures with respect to torsion theories and generalities on noncommutative projective geometry. Chapter 3 is devoted to prove that, under certain conditions, mutat

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22

Silva, Diogo Diniz Pereira da Silva e. "Algebras graduadas e identidades polinomiais graduadas." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306371.

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Orientador: Plamen Emilov Kochloukov<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-08T17:42:03Z (GMT). No. of bitstreams: 1 Silva_DiogoDinizP_M.pdf: 729460 bytes, checksum: d3bd0f5d35d357ca516d80c06f0ee23f (MD5) Previous issue date: 2007<br>Resumo: Neste trabalho estudamos algebras graduadas e identidades polinomiais graduadas. Foram abordados dois tipos de problemas: determinar as possíveis graduações de uma determinada algebra; encontrar uma base para as identidades graduada

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23

Alves, Sergio Mota. "PI equivalencia e não equivalencia de algebras." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306373.

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Анотація:

Orientador: Plamen Emilov Koshlukov<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatisticas e Computação Cientifica<br>Made available in DSpace on 2018-08-07T19:30:45Z (GMT). No. of bitstreams: 1 Alves_SergioMota_D.pdf: 708263 bytes, checksum: 1d9ec0b24db06ea81853a6e7d6794b18 (MD5) Previous issue date: 2006<br>Resumo: As álgebras verbalmente primas são bem conhecidas em característica 0, já sobre corpos de característica p > 2 pouco sabemos sobre elas. Nesse trabalho vamos discutir algumas diferenças entre estes dois casos de característica sobre corpos

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24

Kerr, David. "Pressure for automorphisms of exact C*-algebras and a noncommutative variational principle." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/NQ63696.pdf.

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25

Tiwari, Sharwan Kumar [Verfasser]. "Algorithms in Noncommutative Algebras: Gröbner Bases and Hilbert Series / Sharwan Kumar Tiwari." München : Verlag Dr. Hut, 2017. http://d-nb.info/1149579307/34.

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26

Fidelis, Marcello. "Identidades polinomiais em algebras T-primas." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378.

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Анотація:

Orientador: Plamen Emilov Koshlukov<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-14T13:33:07Z (GMT). No. of bitstreams: 1 Fidelis_Marcello_D.pdf: 592299 bytes, checksum: dea5983279c32bbe6e1ffd7e1372fcf4 (MD5) Previous issue date: 2005<br>Resumo: Neste trabalho estudamos os produtos tensoriais de T-ideais T-primos sobre corpos infinitos. O comportamento destes produtos tensoriais sobre corpos de caracteristica zero foi descrito por Kemer. Primeiramente mostramos, usando os m'etodos

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27

Brandl, Mary-Katherine. "Primitive and Poisson spectra of non-semisimple twists of polynomial algebras /." view abstract or download file of text, 2001. http://wwwlib.umi.com/cr/uoregon/fullcit?p3024507.

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Анотація:

Thesis (Ph. D.)--University of Oregon, 2001.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaf 49). Also available for download via the World Wide Web; free to University of Oregon users.

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28

Byrnes, Sean. "Some computational and geometric aspects of generalized Weyl algebras /." [St. Lucia, Qld.], 2004. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe18765.pdf.

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29

Starling, Charles B. "Actions of Finite Groups on Substitution Tilings and Their Associated C*-algebras." Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/20663.

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The goal of this thesis is to examine the actions of finite symmetry groups on aperiodic tilings. To an aperiodic tiling with finite local complexity arising from a primitive substitution rule one can associate a metric space, transformation groupoids, and C*-algebras. Finite symmetry groups of the tiling act on each of these objects and we investigate appropriate constructions on each, namely the orbit space, semidirect product groupoids, and crossed product C*-algebras respectively. Of particular interest are the crossed product C*-algebras; we derive important structure results about them a

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30

Machado, Gustavo Grings. "Álgebras com identidades polinomais e suas dimensões de Gelfand-Kirillow." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306380.

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Анотація:

Orientador: Plamen Emilov Koshlukov<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Cientifica<br>Made available in DSpace on 2018-08-17T15:30:47Z (GMT). No. of bitstreams: 1 Machado_GustavoGrings_M.pdf: 1211967 bytes, checksum: 772eb43184b0ff273c48ec3a47e9ec93 (MD5) Previous issue date: 2011<br>Resumo: Neste trabalho estudamos álgebras com identidades polinomiais, focando-se no estudo de álgebras associativas unitárias finitamente geradas. Nosso objetivo é fazer uma demonstração alternativa da não PI-equivalência de álgebras u

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31

de, Silva Nadish. "Contextuality and noncommutative geometry in quantum mechanics." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:1ca8995d-b562-426a-ab89-afab3a18dda2.

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It is argued that the geometric dual of a noncommutative operator algebra represents a notion of quantum state space which differs from existing notions by representing observables as maps from states to outcomes rather than from states to distributions on outcomes. A program of solving for an explicitly geometric manifestation of quantum state space by adapting the spectral presheaf, a construction meant to analyze contextuality in quantum mechanics, to derive simple reconstructions of noncommutative topological tools from their topological prototypes is presented. We associate to each unital

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32

Johnston, Ann. "Markov Bases for Noncommutative Harmonic Analysis of Partially Ranked Data." Scholarship @ Claremont, 2011. http://scholarship.claremont.edu/hmc_theses/4.

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Given the result $v_0$ of a survey and a nested collection of summary statistics that could be used to describe that result, it is natural to ask which of these summary statistics best describe $v_0$. In 1998 Diaconis and Sturmfels presented an approach for determining the conditional significance of a higher order statistic, after sampling a space conditioned on the value of a lower order statistic. Their approach involves the computation of a Markov basis, followed by the use of a Markov process with stationary hypergeometric distribution to generate a sample.This technique for data analys

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33

Nazaikinskii, Vladimir, Bert-Wolfgang Schulze, and Boris Sternin. "Quantization methods in differential equations : Chapter 3: Applications of noncommutative analysis to operator algebras on singular manifolds." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2580/.

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Content: Chapter 3: Applications of Noncommutative Analysis to Operator Algebras on Singular Manifolds 3.1 Statement of the problem 3.2 Operators on the Model Cone 3.3 Operators on the Model Cusp of Order k 3.4 An Application to the Construction of Regularizers and Proof of the Finiteness Theorem

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34

Silva, Diogo Diniz Pereira da Silva e. "Identidades graduadas em álgebras não-associativas." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306367.

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Анотація:

Orientador: Plamen Emilov Kochloukov<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-17T03:42:15Z (GMT). No. of bitstreams: 1 Silva_DiogoDinizPereiradaSilvae_D.pdf: 1168055 bytes, checksum: 49c676076235e3eef6f8a27594f092f7 (MD5) Previous issue date: 2010<br>Resumo: Neste trabalho apresentamos um estudo sobre identidades polinomiais graduadas em álgebras não associativas. Mais precisamente estudamos as identidades polinomiais graduadas da álgebra de Lie das matrizes de ordem 2 com traç

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35

Freitas, Jose Antonio Oliveira de. "Identidades polinomiais graduadas e produto tensorial graduado." [s.n.], 2009. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368.

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Анотація:

Orientador: Plamen Emilov Koshlukov<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-14T14:50:24Z (GMT). No. of bitstreams: 1 Freitas_JoseAntonioOliveirade_D.pdf: 1578135 bytes, checksum: a3352669dd5077f0f5949766026e7bb1 (MD5) Previous issue date: 2009<br>Resumo: Nesta tese estudamos identidades polinomiais graduadas para certas álgebras. Inicialmente, estudamos identidades satisfeitas pelo produto tensorial Z2-graduado. Este estudo foi motivado pelo trabalho de Regev e Seeman com prod

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36

Resende, Adriana Souza. "Introdução elementar às álgebras Clifford 'CL IND.2' 'CL IND. 3'." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306698.

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Orientador: Waldyr Alves Rodrigues Junior<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-15T23:09:32Z (GMT). No. of bitstreams: 1 Resende_AdrianaSouza_M.pdf: 17553204 bytes, checksum: a66cefe30e9957cc4351e03d3aec35b2 (MD5) Previous issue date: 2010<br>Resumo: O presente trabalho tem a intenção de apresentar por intermédio de uma linguagem unificada alguns conceitos de cálculo vetorial, álgebra linear (matrizes e transformações lineares) e também algumas idéias elem

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37

Tiger, Norkvist Axel. "Morphisms of real calculi from a geometric and algebraic perspective." Licentiate thesis, Linköpings universitet, Algebra, geometri och diskret matematik, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-175740.

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Noncommutative geometry has over the past four of decades grown into a rich field of study. Novel ideas and concepts are rapidly being developed, and a notable application of the theory outside of pure mathematics is quantum theory. This thesis will focus on a derivation-based approach to noncommutative geometry using the framework of real calculi, which is a rather direct approach to the subject. Due to their direct nature, real calculi are useful when studying classical concepts in Riemannian geometry and how they may be generalized to a noncommutative setting. This thesis aims to shed light

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38

Zähringer, Yasin Hisam Julian. "Non-commutative Iwasawa theory with (φ,Γ)-local conditions over distribution algebras". Thesis, King's College London (University of London), 2017. https://kclpure.kcl.ac.uk/portal/en/theses/noncommutative-iwasawa-theory-with-local-conditions-over-distribution-algebras(77477392-e3b4-4eb1-8acc-e59789517360).html.

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In this thesis we formulate a natural non-commutative Iwasawa Main Conjecture for motives which fulfil the Dabrowski-Panchishkin condition on the level of (φ,Γ)-modules. The basic framework we employ is still Fukaya-Kato’s but we work systematically over Schneider-Teitelbaum’s distribution algebras of compact p-adic Lie groups instead of Iwasawa algebras. This allows us to consider as local conditions not just subrepresentations of the p-adic realisation which fulfil the Dabrowski-Panchishkin conditions but also sub-(φ,Γ)-modules which fulfil the analogous Dabrowski-Panchishkin conditions. We

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39

Mello, Thiago Castilho de 1984. "Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306366.

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Orientador: Plamen Emilov Kochloukov<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-19T21:39:41Z (GMT). No. of bitstreams: 1 Mello_ThiagoCastilhode_D.pdf: 1364753 bytes, checksum: 66955ce4a4c6b84e5c6dcc1a414f3f24 (MD5) Previous issue date: 2012<br>Resumo: Nesta tese estudamos a álgebra genérica de M1;1 em dois geradores sobre um corpo infinito de característica diferente de 2. Descrevemos o centro desta álgebra e provamos que este é a soma direta do corpo com um ideal nilpotente da

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40

Galvão, Lucas. "A dimensão de Gelfand-Kirillov de certas álgebras." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-18032015-164005/.

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A dimensão de Gelfand-Kirillov mede a taxa de crescimento assintótico de álgebras. Como fornece informações importantes sobre a sua estrutura, este invariante se tornou uma das ferramentas padrão no estudo de álgebras de dimensão infinita. Neste trabalho apresentamos as propriedades básicas da dimensão de Gelfand-Kirillov de álgebras e de módulos, e também mostramos o cálculo da dimensão de Gelfand-Kirillov de algumas álgebras e módulos, sendo o exemplo mais importante o cálculo da dimensão de Gelfand-Kirillov da álgebra de Weyl An.<br>The Gelfand-Kirillov dimension measures the asymptotic rat

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41

Yasumura, Felipe Yukihide 1991. "Identidades polinomiais em álgebras de matrizes." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306360.

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Orientador: Plamen Emilov Kochloukov<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação<br>Made available in DSpace on 2018-08-24T08:22:37Z (GMT). No. of bitstreams: 1 Yasumura_FelipeYukihide_M.pdf: 1764013 bytes, checksum: e6eeb3b9e9fd697e59dce7509c017213 (MD5) Previous issue date: 2014<br>Resumo: Nesta dissertação, será apresentada noções básicas da teoria de álgebras com identidades polinomiais (denominados de PI-álgebras), e, seguindo o trabalho de Razmyslov, provaremos a propriedade de Specht para a álgebra de Lie de matrizes

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42

Zucca, Alessandro. "Dirac Operators on Quantum Principal G-Bundles." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4108.

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In this thesis I discuss some results on the noncommutative (spin) geometry of quantum principal G-bundles. The first part of the thesis is devoted to the study of spectral triples over toral bundles; extending some recent results by L. Dabrowski and A. Sitarz, we introduce the notion of projectable spectral triple for T^n-bundles. Moreover, we work out twisted Dirac operators. We discuss, in particular, the application of these results to noncommutative tori. In the second part of the thesis, instead, we work out a method for constructing real spectral triples over cleft quantum principal G-b

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43

Andres, Wolf Daniel [Verfasser]. "Noncommutative computer algebra with applications in algebraic analysis / Wolf Daniel Andres." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2014. http://d-nb.info/1049821475/34.

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44

Kronewitter, Frank Dell. "Noncommutative computer algebra in linear algebra and control theory /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2000. http://wwwlib.umi.com/cr/ucsd/fullcit?p9963663.

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45

Machado, Ulisses Diego Almeida Santos. "Relações de dispersão deformadas na cosmologia inflacionária." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/14/14131/tde-26062013-172342/.

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Relação de dispersão é outro nome para a função Hamiltoniana, cujo conhecimento especica completamente a dinâmica de um sistema no formalismo da mecânica classica. Sua escolha está intimamente vinculada às simetrias do sistema e, no contexto cosmologico aqui apresentado, com as simetrias locais obedecidas pelas leis fsicas. Mais ainda, a contribuição da materia na dinâmica cosmologica reflete a escolha do grupo local de simetrias das leis fsicas. Por outro lado, o problema fundamental da cosmologia pode ser definido como a construção de um modelo de evolução temporal de estados que, sob as hip

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46

Dias, David Pires. "O caráter de Chern-Connes para C*-sistemas dinâmicos calculado em algumas álgebras de operadores pseudodiferenciais." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05082008-164858/.

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Dado um C$^*$-sistema dinâmico $(A, G, \\alpha)$ define-se um homomorfismo, denominado de caráter de Chern-Connes, que leva elementos de $K_0(A) \\oplus K_1(A)$, grupos de K-teoria da C$^*$-álgebra $A$, em $H_{\\mathbb}^*(G)$, anel da cohomologia real de deRham do grupo de Lie $G$. Utilizando essa definição, nós calculamos explicitamente esse homomorfismo para os exemplos $(\\overline{\\Psi_^0(S^1)}, S^1, \\alpha)$ e $(\\overline{\\Psi_^0(S^2)}, SO(3), \\alpha)$, onde $\\overline{\\Psi_^0(M)}$ denota a C$^*$-álgebra gerada pelos operadores pseudodiferenciais clássicos de ordem zero da variedad

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47

Struble, Craig Andrew. "Analysis and Implementation of Algorithms for Noncommutative Algebra." Diss., Virginia Tech, 2000. http://hdl.handle.net/10919/27393.

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A fundamental task of algebraists is to classify algebraic structures. For example, the classification of finite groups has been widely studied and has benefited from the use of computational tools. Advances in computer power have allowed researchers to attack problems never possible before. In this dissertation, algorithms for <I>noncommutative</I> algebra, when <I>ab</I> is not necessarily equal to <I>ba</I>, are examined with practical implementations in mind. Different encodings of <I>associative algebras</I> and <I>modules</I> are also considered. To effectively analyze these algorithms

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48

Sasai, Yuya. "Noncommutative Field Theories and Hopf Algebraic Symmetries." 京都大学 (Kyoto University), 2009. http://hdl.handle.net/2433/124412.

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49

Holm, Christoffer. "A Noncommutative Catenoid." Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-139794.

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Noncommutative geometry generalizes many geometric results from such ﬁelds as diﬀerential geometry and algebraic geometry to a context where commutativity cannot be assumed. Unfortunately there are few concrete non-trivial examples of noncommutative objects. The aim of this thesis is to construct a noncommutative surface <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?%5Cmathcal%7BC%7D_%5Chbar" /> which will be a generalization of the well known surface called the catenoid. This surface will be constructed using the Diamond lemma, derivations will be constructed over <img src="http://

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50

Crawford, Simon Philip. "Singularities of noncommutative surfaces." Thesis, University of Edinburgh, 2018. http://hdl.handle.net/1842/31543.

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The primary objects of study in this thesis are noncommutative surfaces; that is, noncommutative noetherian domains of GK dimension 2. Frequently these rings will also be singular, in the sense that they have infinite global dimension. Very little is known about singularities of noncommutative rings, particularly those which are not finite over their centre. In this thesis, we are able to give a precise description of the singularities of a few families of examples. In many examples, we lay the foundations of noncommutative singularity theory by giving a precise description of the singularitie

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