Rings, Modules, and Closure Operations | Buch

Cover: 9783030244002 | Rings, Modules, and Closure Operations | Jesse Elliott | Buch | xxiv

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Jesse Elliott is a professor of mathematics and philosophy at California State University Channel Islands. He received a PhD in Mathematics in 2003 from the University of California, Berkeley and received a BS in Mathematics in 1995 from the Massachusetts Institute of Technology. His areas of research are ring theory, number theory, and the philosophy of mathematics.

Zusammenfassung

Provides complete treatise about the most recent multiplicative ideal theory in commutative rings

Includes a dependence chart for the various sections of the book

Exercises included at the end of each section

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2019
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Springer Monographs in Mathematics
Inhalt:	xxiv 490 S. 7 s/w Illustr. 490 p. 7 illus.
ISBN-13:	9783030244002
ISBN-10:	3030244008
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Elliott, Jesse
Auflage:	1st ed. 2019
Hersteller:	Springer International Publishing Springer International Publishing AG Springer Monographs in Mathematics
Maße:	241 x 160 x 34 mm
Von/Mit:	Jesse Elliott
Erscheinungsdatum:	11.12.2019
Gewicht:	0,939 kg

Artikel-ID: 116779478