Authors:
- 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
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- ring operations
- closure operations
- algebraic structures
- ordered algebraic structures
- multiplicative ideal theory
- integral domains
- semistar operations
- commutative rings
- polynomial rings
- Prufer extensions
- semiprime operations
- star operations
- closure ideal and submodules
- functorial systems
- preradical theories
- pretorsion theories
- divisorial nuclei
- finitary nuclei
Reviews
“I am certain that there is a lot to learn here and that this text is a valuable contribution to the literature that did not previously exist.” (Geoffrey D. Dietz, Mathematical Reviews, March, 2021)
Authors and Affiliations
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Department of Mathematics, California State University, Channel Islands, Camarillo, USA
Jesse Elliott
About the author
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.
Bibliographic Information
Book Title: Rings, Modules, and Closure Operations
Authors: Jesse Elliott
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-24401-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-24400-2Published: 11 December 2019
Softcover ISBN: 978-3-030-24403-3Published: 17 January 2021
eBook ISBN: 978-3-030-24401-9Published: 30 November 2019
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XXIV, 490
Number of Illustrations: 7 b/w illustrations
Topics: Commutative Rings and Algebras