Commutative Algebra

Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions

Editors: Fontana, Marco, Frisch, Sophie, Glaz, Sarah (Eds.)

  • 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
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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.

Table of contents (20 chapters)

  • Weak Global Dimension of Prüfer-Like Rings

    Adarbeh, Khalid (et al.)

    Pages 1-23

  • Quasi-complete Semilocal Rings and Modules

    Anderson, Daniel D.

    Pages 25-37

  • On the Total Graph of a Ring and Its Related Graphs: A Survey

    Badawi, Ayman

    Pages 39-54

  • Prime Ideals in Polynomial and Power Series Rings over Noetherian Domains

    Celikbas, Ela (et al.)

    Pages 55-82

  • Integer-Valued Polynomials: Looking for Regular Bases (A Survey)

    Chabert, Jean-Luc

    Pages 83-111

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4939-0925-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-4939-0924-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4939-4741-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

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
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
Distribution Rights
Distribution rights for India: Delhi Book Store, New Delhi, India
eBook ISBN
978-1-4939-0925-4
DOI
10.1007/978-1-4939-0925-4
Hardcover ISBN
978-1-4939-0924-7
Softcover ISBN
978-1-4939-4741-6
Edition Number
1
Number of Pages
VIII, 375
Number of Illustrations and Tables
20 b/w illustrations
Topics