Non-Fiction Books:

Progress in Commutative Algebra 2

Closures, Finiteness and Factorization
Click to share your rating 0 ratings (0.0/5.0 average) Thanks for your vote!

Format:

Hardback
$838.00
Available from supplier

The item is brand new and in-stock with one of our preferred suppliers. The item will ship from a Mighty Ape warehouse within the timeframe shown.

Usually ships in 3-4 weeks
Free Delivery with Primate
Join Now

Free 14 day free trial, cancel anytime.

Buy Now, Pay Later with:

4 payments of $209.50 with Afterpay Learn more

6 weekly interest-free payments of $139.67 with Laybuy Learn more

Availability

Delivering to:

Estimated arrival:

  • Around 14-26 June using International Courier

Description

This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and one by Enescu which discusses the action of the Frobenius on finite dimensional vector spaces both of which are related to tight closure. Finiteness properties of rings and modules or the lack of them come up in all aspects of commutative algebra. However, in the study of non-noetherian rings it is much easier to find a ring having a finite number of prime ideals. The editors have included papers by Boynton and Sather-Wagstaff and by Watkins that discuss the relationship of rings with finite Krull dimension and their finite extensions. Finiteness properties in commutative group rings are discussed in Glaz and Schwarz's paper. And Olberding's selection presents us with constructions that produce rings whose integral closure in their field of fractions is not finitely generated. The final three papers in this volume investigate factorization in a broad sense. The first paper by Celikbas and Eubanks-Turner discusses the partially ordered set of prime ideals of the projective line over the integers. The editors have also included a paper on zero divisor graphs by Coykendall, Sather-Wagstaff, Sheppardson and Spiroff. The final paper, by Chapman and Krause, concerns non-unique factorization.

Author Biography:

Christopher Francisco, Oklahoma State University, Stillwater, Oklahoma, USA; Lee C. Klingler, Florida Atlantic University, Boca Raton, Florida, USA; Sean M. Sather-Wagstaff, North Dakota State University, Fargo, North Dakota, USA; Janet Vassilev, University of New Mexico, Albuquerque, New Mexico, USA.
Release date NZ
April 26th, 2012
Audiences
  • Professional & Vocational
  • Professional & Vocational
Contributors
  • Contributions by Ela Celikbas
  • Contributions by Florian Enescu
  • Contributions by Jason G. Boynton
  • Contributions by Jim Coykendall
  • Contributions by Neil Epstein
  • Contributions by Scott T. Chapman
  • Edited by Christopher Francisco
  • Edited by Janet C Vassilev
  • Edited by Lee C. Klingler
  • Edited by Sean M. Sather-Wagstaff
Pages
325
ISBN-13
9783110278590
Product ID
20353587

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here

Help & options

Filed under...