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Injective Modules

Injective Modules

Paperback

Series: Cambridge Tracts in Mathematics, Book 62

Algebra

ISBN10: 052109092X
ISBN13: 9780521090926
Publisher: Cambridge University Press
Published: Nov 27 2008
Pages: 204
Weight: 0.58
Height: 0.47 Width: 5.50 Depth: 8.50
Language: English
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.

Also from

Sharpe, Tom

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Algebra