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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
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by Jesse Elliott.
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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.
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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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Commutative Rings and Algebras.
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Mathematics and Statistics (Springer-11649)
based on 0 review(s)
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EB QA251.3 .E46 2019 2019
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https://doi.org/10.1007/978-3-030-24401-9
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