Module Theory, Extending Modules and Generalizations (Frontiers in Mathematics) - Tapa blanda

Libro 32 de 48: Frontiers in Mathematics

Tercan, Adnan; Yücel, Canan C.

 
9783034809504: Module Theory, Extending Modules and Generalizations (Frontiers in Mathematics)
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ISBN 10: 3034809506 ISBN 13: 9783034809504
Editorial: Birkhäuser, 2016

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2016
Idioma
Inglés
ISBN 10 
3034809506
ISBN 13 
9783034809504
Encuadernación
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Número de edición
1
Número de páginas
392
Contacto del fabricante
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Darmstadt
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Alemania

Otras ediciones populares con el mismo título

9783034809511: Module Theory, Extending Modules and Generalizations

Edición Destacada

ISBN 10:  3034809514 ISBN 13:  9783034809511
Editorial: Birkhäuser, 2016
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