Thesis (D. Min.)--Austin Presbyterian Theological Seminary, 2005. / Abstract. Includes bibliographical references (leaves 121-127).

Thesis (Th. M.)--Dallas Theological Seminary, 2005. / Includes bibliographical references (leaves [85]-92).

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 September 20, 2007) Vita. Includes bibliographical references.

Thesis (D. Min.)--Austin Presbyterian Theological Seminary, 2005. / Abstract. Includes bibliographical references (leaves 121-127).

Thesis (Ph.D.)--Duquesne University, 2006. / Title from document title page. Abstract included in electronic submission form. Includes bibliographical references (p. 364-379) and index.

Thesis (Th. M.)--Dallas Theological Seminary, 2005. / Includes bibliographical references (leaves [85]-92).

Thesis (Ph. D.)--University of Chicago Divinity School, March 1999. / Includes bibliographical references. Also available on the Internet.

x, 68 p. : ill. (some col.) / Motivated by the Adams spectral sequence for computing stable homotopy groups, Priddy defined a class of algebras called Koszul algebras with nice homological properties. Many important algebras arising naturally in mathematics are Koszul, and the Koszul property is often tied to important structure in the settings which produced the algebras. However, the strong defining conditions for a Koszul algebra imply that such algebras must be quadratic. A very natural generalization of Koszul algebras called K 2 algebras was recently introduced by Cassidy and Shelton. Unlike other generalizations of the Koszul property, the class of K 2 algebras is closed under many standard operations in ring theory. The class of K 2 algebras includes Artin-Schelter regular algebras of global dimension 4 on three linear generators as well as graded complete intersections. Our work comprises two distinct projects. Each project was motivated by an aspect of the theory of Koszul algebras which we regard as sufficiently powerful or fundamental to warrant an interpretation for K 2 algebras. A very useful theorem due to Backelin and Fröberg states that if A is a Koszul algebra and I is a quadratic ideal of A which is Koszul as a left A -module, then the factor algebra A/I is a Koszul algebra. We prove that if A is Koszul algebra and A I is a K 2 module, then A/I is a K 2 algebra provided A/I acts trivially on Ext A ( A/I,k ). As an application of our theorem, we show that the class of sequentially Cohen-Macaulay Stanley-Reisner rings are K 2 algebras and we give examples that suggest the class of K 2 Stanley-Reisner rings is actually much larger. Another important recent development in ring theory is the use of A ∞ -algebras. One can characterize Koszul algebras as those graded algebras whose Yoneda algebra admits only trivial A ∞ -structure. We show that, in contrast to the situation for Koszul algebras, vanishing of higher A ∞ -structure on the Yoneda algebra of a K 2 algebra need not be determined in any obvious way by the degrees of defining relations. We also demonstrate that obvious patterns of vanishing among higher multiplications cannot detect the K 2 property. This dissertation includes previously unpublished co-authored material. / Committee in charge: Dr. Brad Shelton, Chair; Dr. Victor Ostrik, Member; Dr. Nicholas Proudfoot, Member; Dr. Arkady Vaintrob, Member; Dr. David Boush, Outside Member

Orientador: Roberto de Andrade Martins / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin / Made available in DSpace on 2018-08-02T08:27:27Z (GMT). No. of bitstreams: 1 JuradoHerrera_NuryIsabel_M.pdf: 1195976 bytes, checksum: ca21c9b45a3155f88dc2049fb4dd06b3 (MD5) Previous issue date: 2002 / Resumo: A presente dissertação introduz as idéias básicas para o surgimento da teoria da relatividade geral e sua posterior aplicação na construção de modelos cosmológicos relativísticos. Desta forma é apresentado um estudo histórico detalhado do desenvolvimento das cosmologias relativísticas no período compreendido entre 1917 e 1930, começando com o próprio Albert Einstein que, em 1917, propôs o primeiro modelo desta natureza, e encerrando a análise com Sir Arthur Eddington em 1930, cujo modelo, "Lemaître-Eddington", engloba os avanços da época. A partir do modelo de Lemaître-Eddington estudamos o papel fundamental que Eddington atribui à constante cosmológica, é neste item que suas concepções epistemológicas ficam mais evidenciadas, embora elas estejam presentes desde seus primeiros trabalhos. Discutimos também sua argumentação para calcular as constantes da natureza por métodos puramente teóricos. Acompanhamos o desenvolvimento do formalismo matricial que Eddington apresenta para escrever a equação de Dirac para o elétron e, a partir desta nova notação, descrevemos os argumentos utilizados por Eddington para encontrar o valor da constante de estrutura fina, a razão entre a massa do próton e do elétron, a razão entre a força elétrica e a força gravitacional entre um próton e um elétron, a razão entre um comprimento de tipo atômico e o raio de curvatura natural do espaço. Enfim, este estudo analisa as fases do trabalho científico de Eddington estabelecendo uma ponte entre seu trabalho cosmológico e seu trabalho epistemológico / Abstract:The present dissertation introduce the basic ideas of the beginning of the general theory of relativity and its later application on the construction of relativistic cosmological models. So we present here a detailed historical study of the development of the relativistic cosmologies in the period between 1917 and 1930, starting with Albert Einstein who, in 1917, proposed the first model of this kind, and finishing the analysis with Sir Arthur Eddington in 1930, whose model, "Lemaître-Eddington", incorporate the progresses of that time. From the model of "Lemaître-Eddington" we study the basic rule Eddington gives to the cosmological constant. It is in this topic his epistemological concepts become more evident, even though it is present since his ½rst works. We also discuss Eddington's argumentation to calculate the constants of the nature by pure theoretical methods. We follow the development of the matrix formalism that Eddington presents to write the Dirac equation for the electron and from this new notation we describe the logic used by Eddington to find the value of fine structure constant, the rate between the proton and electron mass, the rate between the electrical and gravitational force between a proton and an electron, the rate between an atomic length and the natural spacial curvature radius. So, this essay analyzes the diÿerent periods of Eddington's scientific work establishing one bridge between his cosmological work and his epistemological work / Mestrado / Física / Mestre em Física

Doctor Educationis / This thesis will investigate the narrative approach to moral formation by comparing the narrative paradigm as espoused by James H. Cone and Stanley Hauerwas and will apply the findings to post-Apartheid South Africa. I am interested in the extent to which the principles of modernity forms part of the society and the shaping of morality, yet the thesis does not focus on modernity, but on narrative as ideal ethical framework for moral formation. This thesis will look at community, narrative and agency through Stanley Hauerwas’ notion of virtue and James H. Cone’s views of black theology and oppression as means for narrative informed moral formation. This thesis is divided into three major parts. First; an investigation into narrative which includes the arguments made against modernity, narrative and history as it pertains to moral formation and how narrative is understood. Second; James H. Cone and Stanley Hauerwas’ views on narrative and moral formation followed by closer look at Cone and Hauerwas and the critiques of their views. Third; contextualising the findings in a South African context by using the findings in conjunction with South African scholars. The aims are to investigate if moral reform is possible by means of narrative ethics through justice; by means of reconciliation and transformation.