Injective Modules

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Paperback | 27 November 2008

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204 Pages

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In the preface of this book, the authors express the view that 'a good working knowledge of injective modules is a sound investment for module theorists'. The existing literature on the subject has tended to deal with the applications of injective modules to ring theory. The aim of this tract is to demonstrate some of the applications of injective modules to commutative algebra. A number of well-known concepts and results which so far have been applicable principally to commutative rings are generalized to a non-commutative context. There are exercises and brief notes appended to each chapter to illustrate and extend the scope of the treatment in the main text. Together with the short bibliography the notes form a guide to sources of reading for students and researchers who wish to delve more exhaustively into the theory of injective modules. The tract is intended primarily for those who have some knowledge of the rudiments of commutative algebra, although these are recalled at the outset.

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You Can Find This Book In

Non-Fiction Mathematics Algebra

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Non-Fiction Mathematics Algebra

Preliminaries
Injective modules
Injective modules
Injective modules and Injective envelopes and semi-simplicity and chain conditions
Localization, completion and duality
Direct sum decompositions
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Injective Modules

At a Glance

Paperback

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