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Dissertationen zum Thema „Algebraic“

Autor: Grafiati

Veröffentlicht am 4. Juni 2021

Zuletzt aktualisiert am 25. Juli 2025

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1

Alghamdi, Mohamed A. M. A. "Some problems in algebraic topology : polynomial algebras over the Steenrod algebra." Thesis, University of Aberdeen, 1991. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=166808.

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We prove two theorems concerning the action of the Steenrod algebra in cohomology and homology. (i) Let A denote a finitely generated graded F<sub>p</sub> polynomial algebra over the Steenrod algebra whose generators have dimensions not divisible by p. The possible sets of dimensions of the generators for such A are known. It was conjectured that if we replaced the polynomial algebra A by a polynomial algebra truncated at some height greater than p over the Steenrod algebras, the sets of all possible dimensions would coincide with the former list. We show that the conjecture is false. For exam

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2

Miscione, Steven. "Loop algebras and algebraic geometry." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=116115.

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This thesis primarily discusses the results of two papers, [Hu] and [HaHu]. The first is an overview of algebraic-geometric techniques for integrable systems in which the AKS theorem is proven. Under certain conditions, this theorem asserts the commutatvity and (potential) non-triviality of the Hamiltonian flow of Ad*-invariant functions once they're restricted to subalgebras. This theorem is applied to the case of coadjoint orbits on loop algebras, identifying the flow with a spectral curve and a line bundle via the Lax equation. These results play an important role in the discussion of [HaHu

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3

Bucicovschi, Orest. "Simple Lie algebras, algebraic prolongations and contact structures." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2008. http://wwwlib.umi.com/cr/ucsd/fullcit?p3307120.

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Thesis (Ph. D.)--University of California, San Diego, 2008.<br>Title from first page of PDF file (viewed July 1, 2008). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 82-85).

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4

Garrote, López Marina. "Algebraic and semi-algebraic phylogenetic reconstruction." Doctoral thesis, Universitat Politècnica de Catalunya, 2021. http://hdl.handle.net/10803/672316.

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Phylogenetics is the study of the evolutionary history and relationships among groups of biological entities (called taxa). The modeling of those evolutionary processes is done by phylogenetic trees whose nodes represent different taxa and whose branches correspond to the evolutionary processes between them. The leaves usually represent contemporary taxa and the root is their common ancestor. Nowadays, phylogenetic reconstruction aims to estimate the phylogenetic tree that best explains the evolutionary relationships of current taxa using solely information from their genome arranged in an ali

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Bowman, Christopher David. "Algebraic groups, diagram algebras, and their Schur-Weyl dualities." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610216.

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6

Ronagh, Pooya. "The inertia operator and Hall algebra of algebraic stacks." Thesis, University of British Columbia, 2016. http://hdl.handle.net/2429/58120.

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We view the inertia construction of algebraic stacks as an operator on the Grothendieck groups of various categories of algebraic stacks. We are interested in showing that the inertia operator is (locally finite and) diagonalizable over for instance the field of rational functions of the motivic class of the affine line q = [A¹]. This is proved for the Grothendieck group of Deligne-Mumford stacks and the category of quasi-split Artin stacks. Motivated by the quasi-splitness condition we then develop a theory of linear algebraic stacks and algebroids, and define a space of stack functions over

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7

Dias, Eduardo Manuel. "Algebraic covers." Thesis, University of Warwick, 2016. http://wrap.warwick.ac.uk/80934/.

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The main goal of this thesis is the description of the section ring of a surface R(S,L) = O∞n=0 H0(S,nL) where L is an ample base point free divisor defining a covering map φL: S -> P2 such that φ*OS = OP2 O Ω1P2 O Ω1P2 O Op2(-3). This is an abelian surface with a polarization of type (1,3) which was studied before in [BL94, Cas99, Cas12]. Given a covering map φ: X -> Y, following the methods introduced by Miranda for general d covers, in chapter 3 we will define a cover homomorphism that will induce a commutative and associative multiplication in φ*OX. Chapter 4 focuses in the OP2-modules Hom

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Milione, Piermarco. "Shimura curves and their p-adic uniformization = Corbes de Shimura i les seves uniformitzacions p-àdiques." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/402209.

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The main purpose of this dissertation is to introduce Shimura curves from the non-Archimedean point of view, paying special attention to those aspects that can make this theory amenable for computations. Despite the fact that the theory of p-adic uniformization of Shimura curves goes back to the 1960s with the results of Cerednik and Drinfeld, only in the last years explicit examples related to these uniformizations have been computed. The structure of this dissertation is as follows. In Chapter 1 we introduce Shimura curves starting from an indefinite quaternion algebra H over a totally re

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Sinn, Rainer [Verfasser]. "Algebraic Boundaries of Convex Semi-Algebraic Sets / Rainer Sinn." Konstanz : Bibliothek der Universität Konstanz, 2014. http://d-nb.info/1052418252/34.

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10

Sharif, H. "Algebraic functions, differentially algebraic power series and Hadamard operations." Thesis, University of Kent, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.235336.

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11

Wilson, David. "Advances in cylindrical algebraic decomposition." Thesis, University of Bath, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.636529.

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Since their conception by Collins in 1975, Cylindrical Algebraic Decompositions (CADs) have been used to analyse the real algebraic geometry of systems of polynomials. Applications for CAD technology range from quantifier elimination to robot motion planning. Although of great use in practice, the CAD algorithm was shown to have doubly exponential complexity with respect to the number of variables for the problem, which limits its use for large examples. Due to the high complexity of CAD, much work has been done to improve its performance. In this thesis new advances will be discussed that imp

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Shammu, Nizar Miekha. "Algebraic and categorical structure of categories of crossed modules of algebras." Thesis, Bangor University, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304282.

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13

Wagner, Fabian. "Exactly solvable models, Yang-Baxter algebras and the algebraic Bethe Ansatz." Thesis, University of Cambridge, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621030.

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14

Ito, Kazuhiro. "Algebraic cycles and cohomology with torsion coefficients of algebraic varieties." Kyoto University, 2021. http://hdl.handle.net/2433/261597.

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15

Cottrell, Thomas. "Comparing algebraic and non-algebraic foundations of n-category theory." Thesis, University of Sheffield, 2014. http://etheses.whiterose.ac.uk/5324/.

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Many definitions of weak n-category have been proposed. It has been widely observed that each of these definitions is of one of two types: algebraic definitions, in which composites and coherence cells are explicitly specified, and non-algebraic definitions, in which a coherent choice of composites and constraint cells is merely required to exist. Relatively few comparisons have been made between definitions, and most of those that have concern the relationship between definitions of just one type. The aim of this thesis is to establish more comparisons, including a comparison between an algeb

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Cardó, Carles 1975. "Algebraic dependency grammar." Doctoral thesis, Universitat Politècnica de Catalunya, 2018. http://hdl.handle.net/10803/463326.

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We propose a mathematical formalism called Algebraic Dependency Grammar with applications to formal linguistics and to formal language theory. Regarding formal linguistics we aim to address the problem of grammaticality with special attention to cross-linguistic cases. In the field of formal language theory this formalism provides a new perspective allowing an algebraic classification of languages. Notably our approach suggests the existence of so-called anti-classes of languages associated to certain classes of languages. Our notion of a dependency grammar is as of a definition of a set of

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Hartsell, Melanie Lynne. "Algebraic Number Fields." Thesis, University of North Texas, 1991. https://digital.library.unt.edu/ark:/67531/metadc501201/.

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This thesis investigates various theorems on polynomials over the rationals, algebraic numbers, algebraic integers, and quadratic fields. The material selected in this study is more of a number theoretical aspect than that of an algebraic structural aspect. Therefore, the topics of divisibility, unique factorization, prime numbers, and the roots of certain polynomials have been chosen for primary consideration.

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Nikazad, Touraj. "Algebraic Reconstruction Methods." Doctoral thesis, Linköping : Linköpings universitet, Department of Mathematics Scientific Computing, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-11670.

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19

Koudenburg, Seerp Roald. "Algebraic weighted colimits." Thesis, University of Sheffield, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.616958.

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Stephens, S. "Algebraic stream processing." Thesis, Swansea University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.639104.

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We identify and analyse the typically higher-order approaches to stream processing in the literature. From this analysis we motivate an alternative approach to the specification of SPSs as STs based on an essentially first-order equational representation. This technique is called <I>Cartesian form specification.</I> More specifically, while STs are properly second-order objects we show that using Cartesian forms, the second-order <I>models</I> needed to formalise STs are so weak that we may use and develop well-understood first-order methods from computability theory and mathematical logic to

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Gibson, John Keith. "Algebraic coded cryptosystems." Thesis, Royal Holloway, University of London, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.321816.

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22

Steers, Luke. "Algebraic finite domination." Thesis, Queen's University Belfast, 2017. https://pure.qub.ac.uk/portal/en/theses/algebraic-finite-domination(f1e6eccf-ecc3-4601-9fab-6d4aa25bfd57).html.

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23

Eghosa, Edeghagba Elijah. "Ω-Algebraic Structures". Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2017. https://www.cris.uns.ac.rs/record.jsf?recordId=104206&source=NDLTD&language=en.

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The research work carried out in this thesis is aimed   at fuzzifying algebraic and relational structures in the framework of Ω-sets, where Ω is a complete lattice.Therefore we attempt to synthesis universal algebra and fuzzy set theory. Our  investigations of Ω-algebraic structures are based on Ω-valued equality, satisability of identities and cut techniques. We introduce Ω-algebras, Ω-valued congruences,  corresponding quotient  Ω-valued-algebras and  Ω-valued homomorphisms and we investigate connections among these notions. We prove that there is an Ω-valued ho

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Lurie, Jacob 1977. "Derived algebraic geometry." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/30144.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.<br>Includes bibliographical references (p. 191-193).<br>The purpose of this document is to establish the foundations for a theory of derived algebraic geometry based upon simplicial commutative rings. We define derived versions of schemes, algebraic spaces, and algebraic stacks. Our main result is a derived analogue of Artin's representability theorem, which provides a precise criteria for the representability of a moduli functor by geometric objects of these types.<br>by Jacob Lurie.<br>Ph.D.

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Schmidt, Renate Anneliese. "Algebraic terminological representation." Master's thesis, University of Cape Town, 1991. http://hdl.handle.net/11427/22147.

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This thesis investigates terminological representation languages, as used in KL-ONE-type knowledge representation systems, from an algebraic point of view. Terminological representation languages are based on two primitive syntactic types, called concepts and roles, which are usually interpreted model-theoretically as sets and relations, respectively. I propose an algebraic rather than a model-theoretic approach. I show that terminological representations can be naturally accommodated in equational algebras of sets interacting with relations, and I use equational logic as a vehicle for reasoni

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Garibaldi, Skip. "Trialitarian algebraic groups /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1998. http://wwwlib.umi.com/cr/ucsd/fullcit?p9906492.

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27

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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28

Townsend, Brian E. "Examining secondary students algebraic reasoning flexibility and strategy use /." Diss., Columbia, Mo. : University of Missouri-Columbia, 2005. http://hdl.handle.net/10355/4131.

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Thesis (Ph. D.)--University of Missouri-Columbia, 2005.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (November 14, 2006) Vita. Includes bibliographical references.

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Nickerson, Susan Denise. "Supporting students' understanding of algebra : symbolizing in a technology-enhanced classroom /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC IP addresses, 2001. http://wwwlib.umi.com/cr/ucsd/fullcit?p3022703.

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30

at, michor@esi ac. "The Generalized Cayley Map from an Algebraic Group to its Lie Algebra." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1066.ps.

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Pierce, Robyn U. "An exploration of algebraic insight and effective use of computer algebra systems /." Connect to thesis, 2001. http://eprints.unimelb.edu.au/archive/00000739.

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32

Kedzierska, Anna Magdalena. "Algebraic tools in phylogenomics." Doctoral thesis, Universitat Politècnica de Catalunya, 2012. http://hdl.handle.net/10803/81566.

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En aquesta tesi interdisciplinar desenvolupem eines algebraiques per a problemes en filogenètica i genòmica. Per estudiar l'evolució molecular de les espècies sovint s'usen models evolutius estocàstics. L'evolució es representa en un arbre (anomenat filogenètic) on les espècies actuals corresponen a fulles de l'arbre i els nodes interiors corresponen a ancestres comuns a elles. La longitud d'una branca de l'arbre representa la quantitat de mutacions que han ocorregut entre les dues espècies adjacents a la branca. Llavors l'evolució de seqüències d'ADN en aquestes espècies es modelitza am

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Alexander, Nicholas Charles. "Algebraic Tori in Cryptography." Thesis, University of Waterloo, 2005. http://hdl.handle.net/10012/1154.

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Communicating bits over a network is expensive. Therefore, cryptosystems that transmit as little data as possible are valuable. This thesis studies several cryptosystems that require significantly less bandwidth than conventional analogues. The systems we study, called torus-based cryptosystems, were analyzed by Karl Rubin and Alice Silverberg in 2003 [RS03]. They interpreted the XTR [LV00] and LUC [SL93] cryptosystems in terms of quotients of algebraic tori and birational parameterizations, and they also presented CEILIDH, a new torus-based cryptosystem. This thesis introduces

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Redelmeier, Daniel. "Hyperpfaffians in Algebraic Combinatorics." Thesis, University of Waterloo, 2006. http://hdl.handle.net/10012/1055.

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The pfaffian is a classical tool which can be regarded as a generalization of the determinant. The hyperpfaffian, which was introduced by Barvinok, generalizes the pfaffian to higher dimension. This was further developed by Luque, Thibon and Abdesselam. There are several non-equivalent definitions for the hyperpfaffian, which are discussed in the introduction of this thesis. Following this we examine the extension of the Matrix-Tree theorem to the Hyperpfaffian-Cactus theorem by Abdesselam, proving it without the use of the Grassman-Berezin Calculus and with the new terminology o

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de, Almeida Otterson James Joaquim. "Curves in algebraic surfaces." Thesis, Imperial College London, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.525234.

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36

Mahmoud, Ola. "Second-order algebraic theories." Thesis, University of Cambridge, 2011. https://www.repository.cam.ac.uk/handle/1810/241035.

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Second-order universal algebra and second-order equational logic respectively provide a model theory and a formal deductive system for languages with variable binding and parameterised metavariables. This workcompletes the foundations of the subject from the viewpoint of categorical algebra. Specifically, this thesis introduces the notion of second-order algebraic theory and develops its basic theory. Two categorical equivalences are established: at the syntactic level, that of second-order equational presentations and second-order algebraic theories; at the semanticlevel, that of second-order

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Loeffler, David. "Overconvergent algebraic automorphic forms." Thesis, Imperial College London, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.487962.

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I present a general theory of overconvergent p-adic automorphic forms for reductive algebraic groups whose real points are compact (or, more generally, whose arithmetic subgroups are finite, as in the work of Gross). Let G be such a group, p a prime and P a parabolic subgroup of G defined over Qp. Given a fixed representation V of the Levi factor of P, I construct a family of p-adic locally analytic representations of the parahoric subgroup associated to P by induction from twists of V by characters. By considering functions from G(Af ) to these representations satisfying suitable equivariance

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Levy, D. "Algebraic properties of anomalies." Thesis, Imperial College London, 1987. http://hdl.handle.net/10044/1/47071.

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Balchin, Scott Lewis. "Augmented homotopical algebraic geometry." Thesis, University of Leicester, 2017. http://hdl.handle.net/2381/40623.

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In this thesis we are interested in extending the theory of homotopical algebraic geometry, which itself is a homotopification of classical algebraic geometry. We introduce the concept of augmentation categories, which are a class of generalised Reedy categories. An augmentation category is a category which has enough structure that we can mirror the simplicial constructions which make up the theory of homotopical algebraic geometry. In particular, we construct a Quillen model structure on their presheaf categories, and introduce the concept of augmented hypercovers to define a local model str

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Luo, Huazhang 1971. "Stability of algebraic manifolds." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/47463.

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Sustretov, Dmitry. "Non-algebraic Zariski geometries." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:b67f85d8-6fac-4820-913d-a064d3582412.

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The thesis deals with definability of certain Zariski geometries, introduced by Zilber, in the theory of algebraically closed fields. I axiomatise a class of structures, called 'abstract linear spaces', which are a common reduct of these Zariski geometries. I then describe what an interpretation of an abstract linear space in an algebraically closed field looks like. I give a new proof that the structure "quantum harmonic oscillator", introduced by Zilber and Solanki, is not interpretable in an algebraically closed field. I prove that a similar structure from an unpublished note of Solanki is

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Vicinansa, Guilherme Scabin. "Algebraic estimators with applications." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/3/3139/tde-21092018-150106/.

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In this work we address the problem of friction compensation in a pneumatic control valve. It is proposed a nonlinear control law that uses algebraic estimators in its structure, in order to adapt the controller to the aging of the valve. For that purpose we estimate parameters related to the valve\'s Karnopp model, necessary to friction compensation, online. The estimators and the controller are validated through simulations.<br>Nessa pesquisa, estudamos o problema de compensação de atrito em válvulas pneumáticas. É proposta uma lei de controle não linear que tem estimadores algébricos em sua

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Ashford, Matthew. "Graphs of algebraic objects." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:a666c588-7653-4e1c-a60d-5841f1019a1e.

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Al-Zamil, Qusay Soad. "Algebraic topology of PDES." Thesis, University of Manchester, 2012. https://www.research.manchester.ac.uk/portal/en/theses/algebraic-topology-of-pdes(6e25e379-5e32-4db8-abd1-e0a892cecea6).html.

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We consider a compact, oriented,smooth Riemannian manifold $M$ (with or without boundary) and wesuppose $G$ is a torus acting by isometries on $M$. Given $X$ in theLie algebra of $G$ and corresponding vector field $X_M$ on $M$, onedefines Witten's inhomogeneous coboundary operator $\d_{X_M} =\d+\iota_{X_M}: \Omega_G^\pm \to\Omega_G^\mp$ (even/odd invariantforms on $M$) and its adjoint $\delta_{X_M}$. First, Witten [35] showed that the resulting cohomology classeshave $X_M$-harmonic representatives (forms in the null space of$\Delta_{X_M} = (\d_{X_M}+\delta_{X_M})^2$), and the cohomologygroups

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Trenn, Stephan. "Distributional differential algebraic equations." Ilmenau Univ.-Verl, 2009. http://d-nb.info/99693197X/04.

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Bonfanti, M. A. "ALGEBRAIC SURFACES WITH AUTOMORPHISMS." Doctoral thesis, Università degli Studi di Milano, 2015. http://hdl.handle.net/2434/345557.

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In my thesis I worked on two different projects, both related with projective surfaces with automorphisms. In the first one I studied Abelian surfaces with an automorphism and quaternionic multiplication: this work has already been accepted for publication in the Canadian Journal of Mathematics. In the second project I treat surfaces isogenous to a product of curves and their cohomology. Abelian Surfaces with an Automorphism The Abelian surfaces, with a polarization of a fixed type, whose endomorphism ring is an order in a quaternion algebra are parametrized by a curve, called Shimura curve

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Preslicka, Anthony J. "The Topology and Algebraic Functions on Affine Algebraic Sets Over an Arbitrary Field." Digital Archive @ GSU, 2012. http://digitalarchive.gsu.edu/math_theses/121.

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This thesis presents the theory of affine algebraic sets defined over an arbitrary field K. We define basic concepts such as the Zariski topology, coordinate ring of functions, regular functions, and dimension. We are interested in the relationship between the geometry of an affine algebraic set over a field K and its geometry induced by the algebraic closure of K. Various versions of Hilbert-Nullstellensatz are presented, introducing a new variant over finite fields. Examples are provided throughout the paper and a question on the dimension of irreducible affine algebraic sets is formulated.

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Deshpande, D. V. "Topological methods in algebraic geometry : cohomology rings, algebraic cobordism and higher Chow groups." Thesis, University of Cambridge, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.598515.

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This thesis is divided into three chapters. The first chapter is about the cohomology ring of the space of rotational functions. In the second chapter, we define algebraic cobordism of classifying spaces, Ω*(<i>BG</i>) and <i>G</i>-equivariant algebraic cobordism Ω*<i><sub>G</sub></i>(-) for a linear algebraic group <i>G. </i>We prove some properties of the coniveau filtration on algebraic cobordism, denoted <i>F<sup>j</sup></i>(Ω*(-)); which are required for the definition to work. We show that <i>G</i>-equivariant cobordism satisfies the localization exact sequence. We compute Ω*(<i>BG</i>)

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Rüschoff, Christian [Verfasser], and Otmar [Akademischer Betreuer] Venjakob. "Relative algebraic K-theory and algebraic cyclic homology / Christian Rüschoff ; Betreuer: Otmar Venjakob." Heidelberg : Universitätsbibliothek Heidelberg, 2016. http://d-nb.info/1180737873/34.

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50

Junkins, Caroline. "The Grothendieck Gamma Filtration, the Tits Algebras, and the J-invariant of a Linear Algebraic Group." Thesis, Université d'Ottawa / University of Ottawa, 2014. http://hdl.handle.net/10393/31331.

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Consider a semisimple linear algebraic group G over an arbitrary field F, and a projective homogeneous G-variety X. The geometry of such varieties has been a consistently active subject of research in algebraic geometry for decades, with significant contributions made by Grothendieck, Demazure, Tits, Panin, and Merkurjev, among others. An effective tool for the classification of these varieties is the notion of a cohomological (or alternatively, a motivic) invariant. Two such invariants are the set of Tits algebras of G defined by J. Tits, and the J-invariant of G defined by Petrov, Semenov, a

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