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Injective Modules and Injective Quotient Rings

First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective;

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Introductory Lectures on Rings and Modules

of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other;

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Introductory Lectures on Rings and Modules

of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other;

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Modules over Discrete Valuation Rings

interesting open problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its;

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(Mostly) Commutative Algebra

This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At;

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Algebras, Rings and Modules, Volume 2

The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non;

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Advances in Rings, Modules and Factorizations

novel aspect of the volume is an emphasis on how diverse types of algebraic structures and contexts (rings, modules, semigroups, categories) may;

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Semidistributive Modules and Rings

This is monograph on the theory of semidistributive modules and rings investigates such topics as the relationship between semidistributive;

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Advances in Rings, Modules and Factorizations: Graz, Austria, February 19-23, 2018

novel aspect of the volume is an emphasis on how diverse types of algebraic structures and contexts (rings, modules, semigroups, categories) may;

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Algebras, Rings And Their Representations - Proceedings Of The International Conference On Algebras, Modules And Rings

Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their;

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Classical Artinian Rings And Related Topics

artinian rings. In the process, we cover many topics on artinian rings, using a wide variety of concepts from the theory of rings and modules;

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Arithmetical Rings and Endomorphisms

of modules over arithmetical rings and summarising the interplay between arithmetical rings and other rings, whereas modules with extension;

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Injective Modules and Injective Quotient Rings

structure of rings and modules are given, including generalizations of theorems of Cailleau-Beck and Matlis on the structure of -injectives and;

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Commutative Ring Theory

class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!;

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Fields and Rings

This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings;

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Commutative Algebra Volume 1

matrices and determinants. The opening chapter develops introductory notions concerning groups, rings, fields, polynomial rings, and vector;

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London Mathematical Society Lecture Note Series

This is the first book on the subject of FPF rings and the systematic use of the notion of the generator of the category mod-R of all right;

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Recent Developments in Commutative Algebra

This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Groebner bases and degenerations;

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Commutative Algebra

introductory part covers the basic theory, connections with algebraic geometry, computational aspects, and extensions to module theory. The more;

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Cyclic Modules and the Structure of Rings

This unique and comprehensive volume provides an up-to-date account of the literature on the subject of determining the structure of rings;

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Steps in Commutative Algebra

This introductory account of commutative algebra is aimed at advanced undergraduates and first year graduate students. Assuming only basic;

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Steps in Commutative Algebra

This introductory account of commutative algebra is aimed at advanced undergraduates and first year graduate students. Assuming only basic;

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Rings, Modules, and Closure Operations

modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend;

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Lecture Notes On Local Rings

methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the;

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Cohen-Macaulay Rings

theorem on big Cohen-Macaulay modules and its applications, including Peskine-Szpiro's intersection theorem, the Evans-Griffith syzygy theorem;

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An Introduction to Rings and Modules

fundamental constructions of rings and modules, as direct sums or products, and by exact sequences. It then explores the structure of modules;

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Modules and Rings

This book on modern and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject;

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