Thesis (Ph. D.)--University of Wisconsin--Madison, 1972. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

This report is a summarization and extension of previous work done by Dr. Efraim Armendariz, University of Texas at Austin, and Dr. Henry E. Heatherly, University of Lousiana Lafayette, on the topic of rings with commuting ideals. Some of these authors’ results are extended to one-sided ideals instead of two-sided ideals. Topics discussed include homomorphic images of rings with commuting left ideals, finite direct products of rings with commuting left ideals, rings of n x n matrices over a ring with commuting left ideals, constructing rings with commuting ideals using an idempotent, and simple rings with commuting ideals over polynomials in X. Examples are given to illustrate some properties of rings with commuting ideals. A short a discussion regarding the inclusion of ring theory in the secondary mathematics classroom is also included. / text

Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-17T16:28:37Z No. of bitstreams: 1 arquivototal.pdf: 1331420 bytes, checksum: 4a305f8d501884ab03ac497c23df29d8 (MD5) / Made available in DSpace on 2017-08-17T16:28:37Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1331420 bytes, checksum: 4a305f8d501884ab03ac497c23df29d8 (MD5) Previous issue date: 2017-03-06 / Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq / In the present work we investigate topics of the theory of multi-ideals and hyperideals, introduced by Botelho and Torres. We also investigate the connection between the concept of hyper-ideals and the notion of coherence of multi-ideals. / No presente trabalho estudaremos t opicos da teoria de multi-ideais e da recente teoria de hiper-ideais, introduzida por Botelho e Torres. Estudaremos ainda a rela c~ao entre o conceito de hiper-ideais e a no c~ao de coer^encia de multi-ideais.

This paper presents an introduction to the theory of ideals in a ring with emphasis on ideals in a commutative ring with identity.

The problem with which this investigation is concerned is that of determining the properties of the following: a particular type of integral domain, the G-domain; a type of prime ideal, the G-ideal; and a special type of ring, the Hilbert ring.

O objetivo principal dessa dissertação é o estudo do comportamento de ideais diferenciais com respeito à importantes temas de álgebra comutativa como decomposição primária e localização. Veremos que dado um ideal diferencial em um anel noetheriano de característica zero, seus primos associados também serão diferenciais e que ele admite uma decomposição primária cujas componentes são diferenciais. Em relação a localização, teremos uma equivalência dos conceitos de ideais diferenciais no anel dado e no localizado, ou seja, um ideal é diferencial se, e somente se, sua localização também o é. / The main goal of this dissertation is to study the behavior of differential ideals regarding important themes of commutative algebra such as primary decomposition and localization. We will see that, given a differential ideal in a noetherian ring of caracteristic zero, its associated primes ideals will also be differentials and we will exhibit a primary decomposition whose components will be differentials too. In relation to localization, we will have an equivalence of the concepts of differential ideals in the given ring and in the localized ring, that is, an ideal is differential if, and only if, its localization is differential too.

No description available.

The purpose of this research is to record Professor Hwang¡¦s lifetime story, and to confer his music educational ideals. In order to let the splendor of the sage obvious for ever, and set an example for next generation to act up to. For this reason, this research applied qualitative research by using two ways of interviews and document analysis. So as to go on a pilgrimage to Professor Hwang¡¦s plentiful and applausive life, and explore his erudite and amiable music educational ideals. The main results of this study concluded five chapters: Chapter One is a preface to illustrate research motive, purpose, method, and thesis framework. Chapter Two and Three is to display Professor Hwang¡¦s lifetime story, and music educational conduct. Chapter Four is to confer Professor Hwang¡¦s music educational ideals. Chapter Five is to draw conclusions. According to this research, we can find Professor Hwang¡¦s life course is like a developing history of Chinese contemporary music, and his music educational ideals, seeming so amiable but remarkable, are blended into his regular life.

Thesis (Ph.D.)--University of Nebraska-Lincoln, 2008. / Title from title screen (site viewed Sept. 18, 2008). PDF text: v, 109 p. : ill. ; 459 K. UMI publication number: AAT 3303652. Includes bibliographical references. Also available in microfilm and microfiche formats.

In this thesis, we study Hilbert functions of monomial ideals in the polynomial ring and the Kruskal-Katona ring. In particular, we classify Gotzmann edge ideals and, more generally, Gotzmann squarefree monomial ideals. In addition, we discuss Betti numbers of Gotzmann ideals and measure how far certain edge ideals are from Gotzmann. This thesis also contains a thorough account the combinatorial relationship between lex segments and Macaulay representations of their dimensions and codimensions.