國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Module theory, extending modules and...

SpringerLink (Online service)

Module theory, extending modules and generalizations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Module theory, extending modules and generalizationsby Adnan Tercan, Canan C. Yucel.
作者:	Tercan, Adnan.
其他作者:	Yucel, Canan C.
出版者:	Basel :Springer Basel :2016.
面頁冊數:	xx, 369 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Modules (Algebra)
電子資源:	http://dx.doi.org/10.1007/978-3-0348-0952-8
ISBN:	9783034809528$q(electronic bk.)

Module theory, extending modules and generalizations
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$q(electronic bk.)

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

190875
Modules (Algebra)

LC Class. No.: QA247

Dewey Class. No.: 512.42

Module theory, extending modules and generalizations
LDR:02502nmm a2200325 a 4500 001 489400
003 DE-He213
005 20161101143916.0
006 m d
007 cr nn 008maaau
008 161213s2016 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 747884
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 190875
650 0 $a Rings (Algebra) $3 190979
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Associative Rings and Algebras. $3 274818
700 1 $a Yucel, Canan C. $3 747885
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Frontiers in mathematics. $3 558254
856 4 0 $u http://dx.doi.org/10.1007/978-3-0348-0952-8
950 $a Mathematics and Statistics (Springer-11649)