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Injective Modules: Cambridge Tracts in Mathematics, cartea 62

Autor Sharpe
en Limba Engleză Paperback – 26 noi 2008
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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Specificații

ISBN-13: 9780521090926
ISBN-10: 052109092X
Pagini: 204
Ilustrații: ill
Dimensiuni: 152 x 229 x 1 mm
Greutate: 0.26 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

1. Preliminaries; 2. Injective modules; 3. Injective modules; 4. Injective modules and Injective envelopes and semi-simplicity and chain conditions; 5. Localization, completion and duality; 6. Direct sum decompositions.

Descriere

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'.