Rings and Categories of Modules (Graduate Texts in Mathemati pdf epub mobi txt 电子书下载 2024

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Frank W. Anderson

Springer

1998-8-18

402

$95.00

Hardcover

9780387978451

图书标签: 范畴论数学代数

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发表于2024-12-25

Rings and Categories of Modules (Graduate Texts in Mathemati epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Rings and Categories of Modules (Graduate Texts in Mathemati pdf epub mobi txt 电子书下载 2024

图书描述

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 foundations, the book begins with the basic definitions and properties of rings, modules and homomorphisms. The remainder of the text gives comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, decomposition theory, and semiperfect and perfect rings. This second edition includes a chapter containing many of the classical results on Artinian rings that have helped form the foundation for much of contemporary research on the representation theory of Artinian rings and finite-dimensional algebras.

Rings and Categories of Modules (Graduate Texts in Mathemati 下载 mobi epub pdf txt 电子书