Multiplicative Ideal Theory and Factorization Theory
Commutative and Non-commutative Perspectives
Editors: Chapman, S., Fontana, M., Geroldinger, A., Olberding, B. (Eds.)
Free Preview- Brings together both commutative and non-commutative perspectives on multiplicative theory and factorization theory for the first time in one volume
- Focuses on two significant strands of research in commutative algebra, which represent a long tradition in commutative ring theory
- Contains survey papers by leading experts in the field
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- About this book
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This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non-commutative perspectives on these areas, which have their roots in number theory, commutative algebra, and algebraic geometry. Topics discussed include topological aspects in ring theory, Prüfer domains of integer-valued polynomials and their monadic submonoids, and semigroup algebras. It will be of interest to practitioners of mathematics and computer science, and researchers in multiplicative ideal theory, factorization theory, number theory, and algebraic geometry.
- Table of contents (15 chapters)
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Multiplicative Ideal Theory in Noncommutative Rings
Pages 1-21
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About Number Fields with Pólya Group of Order $$\le $$2
Pages 23-42
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The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics
Pages 43-95
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Ring and Semigroup Constructions
Pages 97-115
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New Distinguished Classes of Spectral Spaces: A Survey
Pages 117-143
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Table of contents (15 chapters)
- Download Sample pages 2 PDF (247.9 KB)
- Download Table of contents PDF (55.7 KB)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Multiplicative Ideal Theory and Factorization Theory
- Book Subtitle
- Commutative and Non-commutative Perspectives
- Editors
-
- Scott Chapman
- Marco Fontana
- Alfred Geroldinger
- Bruce Olberding
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Series Volume
- 170
- Copyright
- 2016
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-38855-7
- DOI
- 10.1007/978-3-319-38855-7
- Hardcover ISBN
- 978-3-319-38853-3
- Softcover ISBN
- 978-3-319-81764-4
- Series ISSN
- 2194-1009
- Edition Number
- 1
- Number of Pages
- XIV, 407
- Number of Illustrations
- 4 b/w illustrations
- Topics
