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Дисертації з теми "Noncommutative rings"

Автор: Grafiati

Опубліковано: 4 червня 2021

Оновлено: 30 липня 2024

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1

Zhang, Yufei. "Orderings on noncommutative rings." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0013/NQ32804.pdf.

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2

Pandian, Ravi Samuel. "The structure of semisimple Artinian rings." CSUSB ScholarWorks, 2006. https://scholarworks.lib.csusb.edu/etd-project/2977.

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Proves two famous theorems attributed to J.H.M. Wedderburn, which concern the structure of noncommutative rings. The two theorems include, (1) how any semisimple Artinian ring is the direct sum of a finite number of simple rings; and, (2) the Wedderburn-Artin Theorem. Proofs in this paper follow those outlined in I.N. Herstein's monograph Noncommutative Rings with examples and details provided by the author.

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3

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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4

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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5

Leroux, Christine M. "On universal localization of noncommutative Noetherian rings." Thesis, Northern Illinois University, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3567765.

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<p> The concepts of middle annihilators and links between prime ideals have been useful in studying classical localization. Universal localization has given us an alternative to classical localization as an approach to studying the localization of noncommutative Noetherian rings at prime and semiprime ideals. There are two main ideas we explore in this thesis. The first idea is the relationship between certain middle annihilator ideals, links between prime ideals, and universal localization. The second idea is to explore the circumstances under which the universal localization of a ring will

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6

Collier, Nicholas Richard. "On asymptotic stability of prime ideals in noncommutative rings." Thesis, University of Warwick, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.403145.

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7

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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8

Low, Gordan MacLaren. "Injective modules and representational repleteness." Thesis, University of Glasgow, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.319776.

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9

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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Анотація:

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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10

Rogozinnikov, Evgenii [Verfasser], and Anna [Akademischer Betreuer] Wienhard. "Symplectic groups over noncommutative rings and maximal representations / Evgenii Rogozinnikov ; Betreuer: Anna Wienhard." Heidelberg : Universitätsbibliothek Heidelberg, 2020. http://d-nb.info/1215758219/34.

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11

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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Анотація:

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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12

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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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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13

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

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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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14

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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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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15

Schwarz, João Fernando. "Invariantes de anéis de operadores diferenciais: racionalidade de Gellfand-Kirillov, categorias de módulos, aplicações." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-25112018-231341/.

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Esta tese aborda, como a despeito da rigidez da álgebra de Weyl An(k), suas subálgebras de invariantes possuem uma rica teoria de invariantes: do ponto de vista de estrutura, se fizermos um estudo de equivalência birracional dentro da filosofia de Gelfand-Kirillov, temos o Problema de Noether Não-Comutativo, sobre o qual obtemos vários novos resultados (Capítulo 4). Do ponto de vista de representações, obtemos que suas subálgebras de invariantes, em vários casos, herdam de maneira natural a estrutura de módulos de Gelfand-Tsetlin da álgebra de Weyl (Capítulo 5), assim como uma noção natural de

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16

Angeltveit, Vigleik. "Noncommutative ring spectra." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/34549.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006.<br>Includes bibliographical references (p. 87-91).<br>Let A be an Ax ring spectrum. We give an explicit construction of topological Hochschild homology and cohomology of A using the Stasheff associahedra and another family of polyhedra called cyclohedra. Using this construction we can then study how THH(A) varies over the moduli space of AO structures on A, a problem which seems largely intractable using strictly associative replacements of A. We study how topological Hochschild cohomology of any 2-periodic Mor

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17

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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18

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

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Анотація:

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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19

Schwarz, Joao Fernando. "Problema de Noether não-comutativo." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-31032015-113754/.

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Neste trabalho, temos o objetivo de introduzir o Problema de Noether Clássico e sua versão não- comutativa introduzida por J. Alev e F. Dumas em [AD06]. Discutiremos os principais casos co- nhecidos nos quais os problemas têm solução positiva, observando um forte paralelo entre os casos comutativo e não-comutativo. Cobriremos os tópicos preliminares necessários para entendimento dos enunciados: álgebras de Weyl, anéis de operadores diferenciais, extensões de Ore, localização em domínios não-comutativos, e corpos de Weyl. No Capítulo 5 deste trabalho, o aluno apresenta duas contribuições origin

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20

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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21

Zhou, Yiqiang. "Noncommutative Prüfer rings and some generalizations." Thesis, 1993. http://hdl.handle.net/2429/2140.

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Noncommutative Prfifer rings appear naturally when one wants to transfer the known results for rings which arise in algebraic geometry (such as Dedekind, Krull and Priifer, valuation rings ...) to noncommutative rings. We remove the left-right symmetry condition of the noncommutative Prfifer rings introduced by Alajbegovic and Dubrovin, and introduce three natural generalizations, semi-Prfifer rings, right w-semi-Prfifer rings, and right w-Prfifer rings. We study the relations between the four concepts, and present the various properties that characterize them. We formulate and prove the basic

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22

Bruce, Chris. "C*-algebras from actions of congruence monoids." Thesis, 2020. http://hdl.handle.net/1828/11689.

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We initiate the study of a new class of semigroup C*-algebras arising from number-theoretic considerations; namely, we generalize the construction of Cuntz, Deninger, and Laca by considering the left regular C*-algebras of ax+b-semigroups from actions of congruence monoids on rings of algebraic integers in number fields. Our motivation for considering actions of congruence monoids comes from class field theory and work on Bost–Connes type systems. We give two presentations and a groupoid model for these algebras, and establish a faithfulness criterion for their representations. We then

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23

Härtel, Johannes. "Reduktionssysteme zur Berechnung einer Auflösung der orthogonalen freien Quantengruppen A_o(n)." Doctoral thesis, 2008. http://hdl.handle.net/11858/00-1735-0000-0006-B3A7-7.

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