語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Module Theory, Extending Modules and...
~
Tercan, Adnan.
Module Theory, Extending Modules and Generalizations
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Module Theory, Extending Modules and Generalizations/ by Adnan Tercan, Canan C. Yücel.
作者:
Tercan, Adnan.
其他作者:
Yücel, Canan C.
面頁冊數:
XX, 369 p.online resource. :
Contained By:
Springer Nature eBook
標題:
Associative rings. -
電子資源:
https://doi.org/10.1007/978-3-0348-0952-8
ISBN:
9783034809528
Module Theory, Extending Modules and Generalizations
Tercan, Adnan.
Module Theory, Extending Modules and Generalizations
[electronic resource] /by Adnan Tercan, Canan C. Yücel. - 1st ed. 2016. - XX, 369 p.online resource. - 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:
893564
Associative rings.
LC Class. No.: QA251.5
Dewey Class. No.: 512.46
Module Theory, Extending Modules and Generalizations
LDR
:02838nam a22003975i 4500
001
980683
003
DE-He213
005
20200706171543.0
007
cr nn 008mamaa
008
201211s2016 sz | s |||| 0|eng d
020
$a
9783034809528
$9
978-3-0348-0952-8
024
7
$a
10.1007/978-3-0348-0952-8
$2
doi
035
$a
978-3-0348-0952-8
050
4
$a
QA251.5
072
7
$a
PBF
$2
bicssc
072
7
$a
MAT002010
$2
bisacsh
072
7
$a
PBF
$2
thema
082
0 4
$a
512.46
$2
23
100
1
$a
Tercan, Adnan.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1109334
245
1 0
$a
Module Theory, Extending Modules and Generalizations
$h
[electronic resource] /
$c
by Adnan Tercan, Canan C. Yücel.
250
$a
1st ed. 2016.
264
1
$a
Basel :
$b
Springer Basel :
$b
Imprint: Birkhäuser,
$c
2016.
300
$a
XX, 369 p.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
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
Associative rings.
$3
893564
650
0
$a
Rings (Algebra).
$3
685051
650
1 4
$a
Associative Rings and Algebras.
$3
672306
700
1
$a
Yücel, Canan C.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1273363
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783034809504
776
0 8
$i
Printed edition:
$z
9783034809511
830
0
$a
Frontiers in Mathematics,
$x
1660-8046
$3
1258213
856
4 0
$u
https://doi.org/10.1007/978-3-0348-0952-8
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入