Thesis (Ph. D.)--University of Oregon, 2000. / Typescript. Includes vita and abstract. Includes bibliographical references (leaf 64). Also available for download via the World Wide Web; free to University of Oregon users.

Thesis (Ph. D.)--Ohio State University, 2003. / Title from first page of PDF file. Document formatted into pages; contains viii, 103 p.; also includes graphics Includes bibliographical references (p. 102-103). Available online via OhioLINK's ETD Center

Thesis--Wisconsin. / Vita. Includes bibliographical references (leaf 67).

No description available.

Thesis (Ph. D.)--University of Missouri-Columbia, 2007. / 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 March 20, 2009) Vita. Includes bibliographical references.

Tese (doutorado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2017. / Submitted by Raquel Almeida (raquel.df13@gmail.com) on 2017-06-20T16:20:27Z No. of bitstreams: 1 2017_DaianeSoaresVeras.pdf: 2731129 bytes, checksum: 2adb78a1c6d752fe25ba2eff7632aa9c (MD5) / Approved for entry into archive by Raquel Viana (raquelviana@bce.unb.br) on 2017-08-22T18:33:23Z (GMT) No. of bitstreams: 1 2017_DaianeSoaresVeras.pdf: 2731129 bytes, checksum: 2adb78a1c6d752fe25ba2eff7632aa9c (MD5) / Made available in DSpace on 2017-08-22T18:33:23Z (GMT). No. of bitstreams: 1 2017_DaianeSoaresVeras.pdf: 2731129 bytes, checksum: 2adb78a1c6d752fe25ba2eff7632aa9c (MD5) Previous issue date: 2017-08-22 / Davenport e Lewis provaram uma versão da Conjectura de Artin que diz que, denotando por Γ* (k , p) o menor número de variáveis para o qual uma forma aditiva com coeficientes inteiros e grau k possui solução p−ádica não trivial, onde p é um número primo, então Γ* (k , p) ≤ k 2 +1 e a igualdade acontece quando p = k+1. Sabe-se que, em geral, quando k + 1 é composto essa cota é suficiente, mas não é necessária. Nessa tese melhoramos a cota dada pela conjectura e obtemos o número exato de variáveis necessárias para garantir a solubilidade p-ádica não trivial de uma forma aditiva de grau k com coeficientes inteiros, sempre que p − 1 divide k. Mais precisamente, escrevendo k = γq + r onde γ depende do grau k e0 ≤ r ≤ γ − 1, provamos que Γ* (k , p)≤( p γ−1) q+ p r , e a igualdade vale para os primos p tais que p − 1 divide k. Como aplicação desse resultado, mostramos que, se k = 54, então 1049 variáveis são suficientes para garantir a solubilidade p-ádica não trivial para todo p. Para k = 24, M. P. Knapp mostrou que são necessárias 289 variáveis para garantir a solubilidade p-ádica não trivial para todo p, entretanto, ainda como aplicação do resultado citado acima, provamos que, se p ≠ 13, então 140 variáveis são suficientes para garantir a solubilidade desejada. Além disso, encontramos o valor exato de Γ* (10 , p) para cada p primo. / Davenport and Lewis have proved a version of Artin’s Conjecture wich states that, denoting by Γ* (k , p) the least number of variables for wich an additive form with integer coefficients and degree k has a nontrivial p-adic solution, where p is a prime number, then Γ* (k , p)≤ k 2 +1 and the equality occurs when p = k + 1. It is known that in general when k + 1 is composite this bound is sufficient but it is not necessary. In this work we improve the conjecture´s bound and give the exact number of necessary variables to states that an additive form with integers coefficients and degree k has a nontrivial p-adic solution, since p − 1 divide k. More precisely, writing k = γq + r with γ depending of degree k and 0 ≤ r ≤ γ − 1, then Γ* (k , p)≤ ( p γ−1) q+ p r , and the equality occurs when p − 1 divide k. As an application of this result we show that, if k = 54, then 1049 variables are sufficient to ensure the nontrivial p-adic solubility for all p. For k = 24, M. P. Knapp has proved that 289 variables are necessary to ensure the nontrivial p-adic solution for all p, however, still as an application of the previous result, we show that, if p ≠ 13, then 140 variables are sufficient to ensure de solubility desired. Moreover, we give the exact value to Γ* (10, p ) for each prime p.

Thesis (Ph.D.)--McMaster University (Canada), 1995. / Source: Dissertation Abstracts International, Volume: 57-03, Section: B, page: 1845. Adviser: B. J. Mueller.

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.

Let (Γ,ρ) be a directed graph with relations. Let F: Γ’ → Γ be a topological covering. It is proved in this thesis that there is a set of relations ρ̅ on Γ such that the category of K-respresentations of Γ’ whose images under the covering functor satisfy ρ is equivalent to the category of finite-dimensional, grades KΓ/<ρ̅>-modules. If Γ’ is the universal cover of Γ, then this category is called the category of unwindable KΓ/<ρ>-modules. For arrow unique graphs it is shown that the category of unwindable KΓ/<ρ>-modules does not depend on <ρ>. Also, it is shown that for arrow unique graphs the finite dimensional uniserial KΓ/<ρ>-modules are unwindable. Let Γ be an arrow unique graph with commutativity relations, ρ. In Section 2, the concept of unwindable modules is used to determine whether a certain factor ring of KΓ/<ρ> is of finite representation type. In a different vein, the relationship between almost split sequences over Artin algebras and the almost split sequences over factor rings of such algebras is studied. Let Λ be an Artin algebra and let Λ̅ be a factor ring of Λ. Two sets of necessary and sufficient conditions are obtained for determining when an almost split sequence of Λ̅-modules remains an almost split sequence when viewed as a sequence of Λ-modules. / Ph. D.

We calculate the second and third integral homology of arbitrary finite rank Coxeter groups. The first of these calculations refines a theorem of Howlett, the second is entirely new. We then prove that families of Artin monoids, which have the braid monoid as a submonoid, satisfy homological stability. When the K(π,1) conjecture holds this gives a homological stability result for the associated families of Artin groups. In particular, we recover a classic result of Arnol'd.