Results 61 to 70 of about 194 (126)

Groebner bases over commutative rings and Applications to coding theory

, 2009
We give a survey of results and applications relating to the theory of Gröbner bases of ideals and modules where the coefficient ring is a finite commutative ring. For applications, we specialize to the case of a finite chain ring.We discuss and compare
BYRNE E., MORA, FERDINANDO
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Presentations over HNP rings with enough invertible ideals and torsionfree cancellation over neoclassical orders

, 1989
We prove a uniqueness theorem for presentations of modules over a class of hereditary noetherian prime rings that includes the hereditary orders studied in integral representation theory. The result also generalizes the elementary divisor theorem for non-
Odenthal, Charles J
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A commutative version of the group ring

We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings.
Mannan, W.H.
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One-sided prime ideals in noncommutative algebra [PDF]

, 2010
The goal of this dissertation is to provide noncommutative generalizations of the following theorems from commutative algebra: (Cohen's Theorem) every ideal of a commutative ring R is finitely generated if and only if every prime ideal of R is finitely ...
Reyes, Manuel Lionel
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Introduction to Commutative Ring Theory, from Localization to Complete Intersections

, 2020
This thesis will be an introduction to commutative ring theory, with an end goal of introducing complete intersection rings and reviewing some results about them.
Sivertsen, Andreas Palm
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Extensões de álgebras obtidas a partir de álgebras de Hopf [PDF]

, 2012
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-graduação em Matemática e Computação Científica, Florianópolis, 2011Neste trabalho fazemos uma descrição completa do grupo quântico
Teixeira, Mateus Medeiros
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An Euler system for GU(2, 1). [PDF]

Math Ann, 2022
Loeffler D, Skinner C, Zerbes SL.
europepmc   +1 more source

Commutative Algebra/ Aron Simis.

, 2020
In English.This unique book on commutative algebra is divided into two parts in order to facilitate its use in several types of courses. The first introductory part covers the basic theory, connections with algebraic geometry, computational aspects, and ...
Simis Aron
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Equivariant Modules Over Polynomial Rings in Infinitely Many Variables

A guiding principle of the field of equivariant commutative algebra is that non-noetherian rings behave like noetherian rings up to the action of a large group of symmetries.
Yu, Teresa
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Arithmetical Rings and Endomorphisms/ Askar A. Tuganbaev.

, 2019
In English.This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arithmetical rings and summarising the interplay between arithmetical rings and other ...
Tuganbaev Askar A.,
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