Overview
- Latest developments in the theory of ideal factorizations - not included in any other recent books Particularly useful to young researchers in commutative algebra Emphasizes historical development of the subject
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes of the Unione Matematica Italiana (UMILN, volume 14)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
This volume provides a wide-ranging survey of, and many new results on, various important types
of ideal factorization actively investigated by several authors in recent years. Examples of domains studied include (1) those with weak factorization, in which each nonzero, nondivisorial ideal can be factored as the product of its divisorial closure and a product of maximal ideals and (2) those with pseudo-Dedekind factorization, in which each nonzero, noninvertible ideal can be factored as the product of an invertible ideal with a product of pairwise comaximal prime ideals. Prüfer domains play a central role in our study, but many non-Prüfer examples are considered as well.
Similar content being viewed by others
Table of contents (6 chapters)
-
Front Matter
-
Back Matter
Authors and Affiliations
Accessibility Information
Accessibility information for this book is coming soon. We're working to make it available as quickly as possible. Thank you for your patience.
Bibliographic Information
Book Title: Factoring Ideals in Integral Domains
Authors: Marco Fontana, Evan Houston, Thomas Lucas
Series Title: Lecture Notes of the Unione Matematica Italiana
DOI: https://doi.org/10.1007/978-3-642-31712-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Softcover ISBN: 978-3-642-31711-8Published: 15 September 2012
eBook ISBN: 978-3-642-31712-5Published: 14 September 2012
Series ISSN: 1862-9113
Series E-ISSN: 1862-9121
Edition Number: 1
Number of Pages: VIII, 164
Topics: Algebra, Commutative Rings and Algebras, Algebraic Geometry, Number Theory