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＜E-Book＞
Rings, Modules, and Closure Operations / by Jesse Elliott
(Springer Monographs in Mathematics. ISSN:21969922)

Edition	1st ed. 2019.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2019
Size	XXIV, 490 p. 7 illus : online resource
Authors	*Elliott, Jesse author SpringerLink (Online service)
Subjects	LCSH:Commutative algebra LCSH:Commutative rings FREE:Commutative Rings and Algebras
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-030-24401-9

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