大葉大學圖書館 |

Module theory, extending modules and generalizations[electronic resource] /

纪录类型:	书目-语言数据,印刷品 : Monograph/item
[NT 15000414] null:	512.42
[NT 47271] Title/Author:	Module theory, extending modules and generalizations/ by Adnan Tercan, Canan C. Yucel.
作者:	Tercan, Adnan.
[NT 51406] other author:	Yucel, Canan C.
出版者:	Basel : : Springer Basel :, 2016.
面页册数:	xx, 369 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
标题:	Modules (Algebra)
标题:	Rings (Algebra)
标题:	Mathematics.
标题:	Associative Rings and Algebras.
ISBN:	9783034809528
ISBN:	9783034809504
[NT 15000228] null:	Preface -- Introduction -- List of Symbols -- Introducing modules -- Types of Relative Injectivity -- Extending Property and Related Concepts -- Inner Generalizations of Extending Modules -- Outer Generalizations of Extending Modules -- Dual Goldie and EC-complement Versions of the Extending Property -- Open Problems and Questions -- Appendix -- References -- Index.
[NT 15000229] null:	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.
电子资源:	http://dx.doi.org/10.1007/978-3-0348-0952-8

Module theory, extending modules and generalizations[electronic resource] /
Tercan, Adnan.

Module theory, extending modules and generalizations[electronic resource] /by Adnan Tercan, Canan C. Yucel. - Basel :Springer Basel :2016. - xx, 369 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8046. - Frontiers in mathematics..

Preface -- Introduction -- List of Symbols -- Introducing modules -- Types of Relative Injectivity -- Extending Property and Related Concepts -- Inner Generalizations of Extending Modules -- Outer Generalizations of Extending Modules -- Dual Goldie and EC-complement Versions of the Extending Property -- Open Problems and Questions -- Appendix -- References -- Index.

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.

ISBN: 9783034809528

Standard No.: 10.1007/978-3-0348-0952-8doiSubjects--Topical Terms:

486780
Modules (Algebra)

LC Class. No.: QA247

Dewey Class. No.: 512.42

Module theory, extending modules and generalizations[electronic resource] /
LDR:02502nam a2200325 a 4500 001 450748
003 DE-He213
005 20161101143916.0
006 m d
007 cr nn 008maaau
008 161210s2016 sz s 0 eng d
020 $a 9783034809528 $q (electronic bk.)
020 $a 9783034809504 $q (paper)
024 7 $a 10.1007/978-3-0348-0952-8 $2 doi
035 $a 978-3-0348-0952-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA247
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
082 0 4 $a 512.42 $2 23
090 $a QA247 $b .T315 2016
100 1 $a Tercan, Adnan. $3 647213
245 1 0 $a Module theory, extending modules and generalizations $h [electronic resource] / $c by Adnan Tercan, Canan C. Yucel.
260 $a Basel : $b Springer Basel : $b Imprint: Birkhauser, $c 2016.
300 $a xx, 369 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8046
505 0 $a Preface -- Introduction -- List of Symbols -- Introducing modules -- Types of Relative Injectivity -- Extending Property and Related Concepts -- Inner Generalizations of Extending Modules -- Outer Generalizations of Extending Modules -- Dual Goldie and EC-complement Versions of the Extending Property -- Open Problems and Questions -- Appendix -- References -- Index.
520 $a 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.
650 0 $a Modules (Algebra) $3 486780
650 0 $a Rings (Algebra) $3 486779
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Associative Rings and Algebras. $3 465754
700 1 $a Yucel, Canan C. $3 647214
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Frontiers in mathematics. $3 464909
856 4 0 $u http://dx.doi.org/10.1007/978-3-0348-0952-8
950 $a Mathematics and Statistics (Springer-11649)