Module Theory, Extending Modules and Generalizations

Descripción

Neuware -The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-rings. Extending (or CS) modules are generalizations of injective (and also semisimple or uniform) modules. While the theory of CS-modules is well documented in monographs and textbooks, results on generalized forms of the CS property as well as dual notions are far less present in the literature.With their work the authors provide a solid background to module theory, accessible to anyone familiar with basic abstract algebra. The focus of the book is on direct sums of CS-modules and classes of modules related to CS-modules, such as relative (injective) ejective modules, (quasi) continuous modules, and lifting modules. In particular, matrix CS-rings are studied and clear proofs of fundamental decomposition results on CS-modules over commutative domains are given, thus complementing existing monographs in this area.Open problems round out the work and establish the basis for further developments in the field. The main text is complemented by a wealth of examples and exercises.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 392 pp. Englisch.

N° de ref. del artículo 9783034809504

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Detalles bibliográficos

Título

Module Theory, Extending Modules and Generalizations

Editor

Springer Basel, Springer Basel Jun 2016

Fecha de publicación

2016

Idioma

Inglés

ISBN 10

3034809506

ISBN 13

9783034809504

Encuadernación

Taschenbuch

Estado

Neu

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