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Rings, modules, and closure operations

Elliott, Jesse.

Rings, modules, and closure operations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Rings, modules, and closure operationsby Jesse Elliott.
作者:	Elliott, Jesse.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xxiv, 490 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Commutative rings.
電子資源:	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
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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.
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