國立高雄大學圖資館 |

Language: English

Back

Rings, modules, and closure operations

Elliott, Jesse.

Rings, modules, and closure operations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Rings, modules, and closure operationsby Jesse Elliott.
Author:	Elliott, Jesse.
Published:	Cham :Springer International Publishing :2019.
Description:	xxiv, 490 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Commutative rings.
Online resource:	https://doi.org/10.1007/978-3-030-24401-9
ISBN:	9783030244019$q(electronic bk.)

Rings, modules, and closure operations
Elliott, Jesse.

Rings, modules, and closure operations[electronic resource] /by Jesse Elliott. - Cham :Springer International Publishing :2019. - xxiv, 490 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

Preface -- 0. Preliminaries -- 1. Introductory survey of multiplicative ideal theory -- 2. Semistar operations on commutative rings -- 3. Semistar operations on commutative rings: local methods -- 4. Extensions of commutative rings -- 5. Semiprime, star, and semistar operations on commutative rings -- 6. Closure operations on submodules over noncommutative rings -- 7. Appendix on Clusure operations and nuclei -- Bibliography -- Index.

This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.

ISBN: 9783030244019$q(electronic bk.)

Standard No.: 10.1007/978-3-030-24401-9doiSubjects--Topical Terms:

237116
Commutative rings.

LC Class. No.: QA251.3 / .E45 2019

Dewey Class. No.: 512.44

Rings, modules, and closure operations
LDR:02003nmm a2200337 a 4500 001 569676
003 DE-He213
005 20191130203327.0
006 m d
007 cr nn 008maaau
008 200723s2019 gw s 0 eng d
020 $a 9783030244019$q(electronic bk.)
020 $a 9783030244002$q(paper)
024 7 $a 10.1007/978-3-030-24401-9 $2 doi
035 $a 978-3-030-24401-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA251.3 $b .E45 2019
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.44 $2 23
090 $a QA251.3 $b .E46 2019
100 1 $a Elliott, Jesse. $3 855780
245 1 0 $a Rings, modules, and closure operations $h [electronic resource] / $c by Jesse Elliott.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xxiv, 490 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a Preface -- 0. Preliminaries -- 1. Introductory survey of multiplicative ideal theory -- 2. Semistar operations on commutative rings -- 3. Semistar operations on commutative rings: local methods -- 4. Extensions of commutative rings -- 5. Semiprime, star, and semistar operations on commutative rings -- 6. Closure operations on submodules over noncommutative rings -- 7. Appendix on Clusure operations and nuclei -- Bibliography -- Index.
520 $a This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
650 0 $a Commutative rings. $3 237116
650 1 4 $a Commutative Rings and Algebras. $3 274057
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Springer monographs in mathematics. $3 557774
856 4 0 $u https://doi.org/10.1007/978-3-030-24401-9
950 $a Mathematics and Statistics (Springer-11649)