Extending Modules

Dung, Nguyen Viet (Author)/ Huynh, Dinh Van (Author)/ Smith, P F (Author)/ Wisbauer, Robert (Author)

ISBN 10: 0582253829 ISBN 13: 9780582253827

Verlag: Longman Pub Group, 1994

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1st edition. 248 pages. 9.75x6.75x0.75 inches. In Stock. Bestandsnummer des Verk�ufers __0582253829

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Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is particularly important. Extending modules form a natural class of modules which is more general than the class of injective modules but retains many of its desirable properties. This book gathers together for the first time in one place recent work on extending modules. It is aimed at anyone with a basic knowledge of ring and module theory.

�ber die Autorin bzw. den Autor: Nguyen Viet Dung Dinh Van Huynh P F Smith Robert Wisbauer

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Titel: Extending Modules
Verlag: Longman Pub Group
Erscheinungsdatum: 1994
Einband: Hardcover
Zustand: Brand New

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St-closed Submodules and Semi-extending Modules

Maysaa Riadh Abbas

Verlag: LAP LAMBERT Academic Publishing M�r 2016, 2016

ISBN 10: 3659864072 ISBN 13: 9783659864070

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Taschenbuch. Zustand: Neu. Neuware -The main purpose of this work is to determine and study two new concepts (up to our knowledge) which are St-closed submodules and semi-extending modules. St-closed submodules is contained properly in the class of closed submodules, where a submodule N of M is called St-closed in M, if N has no proper semi-essential extension in M, i.e if there exists a submodule K of M such that N is a semi-essential submodule of K, then N = K. We investigate the main properties of this type of submodules, and discuss some results that are useful in our work. The class of semi-extending modules is a generalization to the notion of extending modules, where an R-module M is called semi-extending, if every submodule of M is a semi-essential in a direct summand of M. Various properties of semi-extending modules are obtained, and we study the relationships between this class of modules and other related concepts.Books on Demand GmbH, �berseering 33, 22297 Hamburg 76 pp. Englisch. Artikel-Nr. 9783659864070

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Themes in Torsion Theory | Relatively Max, Injective and Extending (CS) modules

Stelios Charalambides

Verlag: VDM Verlag Dr. M�ller, 2009

ISBN 10: 3639157826 ISBN 13: 9783639157826

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St-closed Submodules and Semi-extending Modules

Riadh Abbas, Maysaa/ Abbas Ahmed, Muna

Verlag: LAP LAMBERT Academic Publishing, 2016

ISBN 10: 3659864072 ISBN 13: 9783659864070

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Paperback. Zustand: Brand New. 76 pages. 8.66x5.91x0.18 inches. In Stock. Artikel-Nr. __3659864072

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Themes In Torsion Theory: Relatively Max, Injective And Extending (Cs) Modules

Charalambides, Stelios; Charalambides, Stelios

Verlag: Vdm Verlag Dr. M�ller, 2009

ISBN 10: 3639157826 ISBN 13: 9783639157826

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Paperback. Zustand: Brand New. 140 pages. 8.78x6.10x0.47 inches. In Stock. Artikel-Nr. __3639157826

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Module Theory, Extending Modules and Generalizations

Canan C. Y�cel

Verlag: Springer Basel, 2016

ISBN 10: 3034809506 ISBN 13: 9783034809504

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Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783034809504

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