Progress in Commutative Algebra 1: Combinatorics and Homology

Front Cover
Christopher Francisco, Lee C. Klingler, Sean Sather-Wagstaff, Janet C. Vassilev
Walter de Gruyter, Apr 26, 2012 - Mathematics - 372 pages
0 Reviews

This is the first of two volumes of a state-of-the-art survey article collection which emanates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University meeting. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. The current trends in two of the most active areas of commutative algebra are presented: non-noetherian rings (factorization, ideal theory, integrality), advances from the homological study of noetherian rings (the local theory, graded situation and its interactions with combinatorics and geometry).

This fist volume concentrates on combinatorics and homology.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction and Survey
1
the Twofold Way
55
Algebraic and Combinatorial Properties
85
Three Simplicial Resolutions
127
A Minimal Poset Resolution of Stable Ideals
143
Subsets of Complete Intersections and the EGH Conjecture
167
The Homological Conjectures
199
The Compatibility Independence and Linear Growth Properties
231
a Homological Perspective
271
Scenes from Categorical Geometry
293
Copyright

Other editions - View all

Common terms and phrases

About the author (2012)

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.

Bibliographic information