Editors:
Contributions cover the flourishing areas of commutative algebra, not yet well represented in published literature
Contains 100 open problems supplied by the authors
Provides a multi-dimensional survey of the recent development of the field and an extensive bibliography
Includes supplementary material: sn.pub/extras
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (20 chapters)
-
Front Matter
About this book
This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non- Noetherian ring theory as well as integer-valued polynomials and functions.
Specific topics include:
· Homological dimensions of Prüfer-like rings
· Quasi complete rings
· Total graphs of rings
· Properties of prime ideals over various rings
· Bases for integer-valued polynomials
· Boolean subrings
· The portable property of domains
· Probabilistic topics in Intn(D)
· Closure operations in Zariski-Riemann spaces of valuation domains
· Stability of domains
· Non-Noetherian grade
· Homotopy in integer-valued polynomials
· Localizations of global properties of rings
· Topics in integral closure
· Monoids and submonoids of domains
The book includes twenty articles written by many of the most prominent researchers in the field. Most contributions are authored by attendees of the conference in commutative algebra held at the Graz University of Technology in December 2012. There is also a small collection of invited articles authored by those who did not attend the conference. Following the model of the Graz conference, the volume contains a number of comprehensive survey articles along with related research articles featuring recent results that have not yet been published elsewhere.
Editors and Affiliations
-
Dipartimento di Matematica, Università degli Studi Roma Tre, Rome, Italy
Marco Fontana
-
Department of Mathematics, Graz University of Technology, Graz, Austria
Sophie Frisch
-
Department of Mathematics, University of Connecticut, Storrs, USA
Sarah Glaz
Bibliographic Information
Book Title: Commutative Algebra
Book Subtitle: Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions
Editors: Marco Fontana, Sophie Frisch, Sarah Glaz
DOI: https://doi.org/10.1007/978-1-4939-0925-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4939-0924-7Published: 16 July 2014
Softcover ISBN: 978-1-4939-4741-6Published: 03 September 2016
eBook ISBN: 978-1-4939-0925-4Published: 15 July 2014
Edition Number: 1
Number of Pages: VIII, 375
Number of Illustrations: 20 b/w illustrations
Topics: Commutative Rings and Algebras, Category Theory, Homological Algebra, Algebraic Topology