Categories of Modules over Endomorphism Rings

✍ Scribed by Theodore G. Faticoni

Publisher: Amer Mathematical Society
Year: 1993
Tongue: English
Leaves: 159
Series: Memoirs AMS 492
Category: Library

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Categories of Modules over Endomorphism

📁 Categories of Modules over Endomorphism Rings

✍ Theodore G. Faticoni 📂 Library 📅 1993 🏛 Amer Mathematical Society 🌐 English

The goal of this work is to develop a functorial transfer of properties between a module $A$ and the category ${\mathcal M}_{E}$ of right modules over its endomorphism ring, $E$, that is more sensitive than the traditional starting point, $\textnormal{Hom}(A, \cdot )$. The main result is a fact

Modules over Endomorphism Rings

📁 Modules over Endomorphism Rings

✍ Theodore G. Faticoni 📂 Library 📅 2009 🏛 Cambridge University Press 🌐 English

This is an extensive synthesis of recent work in the study of endomorphism rings and their modules, bringing together direct sum decompositions of modules, the class number of an algebraic number field, point set topological spaces, and classical noncommutative localization. The main idea behind the

Modules over endomorphism rings

📁 Modules over endomorphism rings

✍ Theodore G Faticoni 📂 Library 📅 2010 🏛 Cambridge University Press 🌐 English

''For graduate students this is a useful introduction, while the more experienced mathematician will discover that the book contains results that are not otherwise available. Each chapter contains a list of exercises and problems for future research, which provide a springboard for students entering

Semilocal Categories and Modules with Se

📁 Semilocal Categories and Modules with Semilocal Endomorphism Rings

✍ Alberto Facchini 📂 Library 📅 2019 🏛 Birkhäuser 🌐 English

This book collects and coherently presents the research that has been undertaken since the author’s previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material.In the twenty years foll

Modules over Endomorphism Rings (Encyclo

📁 Modules over Endomorphism Rings (Encyclopedia of Mathematics and its Applications)

✍ Theodore G. Faticoni 📂 Library 📅 2009 🏛 Cambridge University Press 🌐 English

Rings and Categories of Modules

📁 Rings and Categories of Modules

✍ Frank W. Anderson, Kent R. Fuller (auth.) 📂 Library 📅 1974 🏛 Springer New York 🌐 English

This book is intended to provide a self-contained account of much of the theory of rings and modules. The theme of the text throughout is the relationship between the one-sided ideal structure a ring may possess and the behavior of its categories of modules. Following a brief outline of the foundati