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Rings, Modules, and Closure Operations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Rings, Modules, and Closure Operations/ by Jesse Elliott.
Author:	Elliott, Jesse.
Description:	XXIV, 490 p. 163 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Commutative algebra. -
Online resource:	https://doi.org/10.1007/978-3-030-24401-9
ISBN:	9783030244019

Rings, Modules, and Closure Operations
Elliott, Jesse.

Rings, Modules, and Closure Operations[electronic resource] /by Jesse Elliott. - 1st ed. 2019. - XXIV, 490 p. 163 illus.online resource. - 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

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

672047
Commutative algebra.

LC Class. No.: QA251.3

Dewey Class. No.: 512.44

Rings, Modules, and Closure Operations
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