Commutative algebra : 14-25 September 1992 ICTP, Trieste, Italy
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Bibliographic Information
Commutative algebra : 14-25 September 1992 ICTP, Trieste, Italy
World Scientific, c1994
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"Proceedings of the Workshop on Commutative Algebra held in the International Centre for Theoretical Physics (ICTP), Miramare-Trieste, Italy, 14 through 25 September, 1992." -- Pref
Description and Table of Contents
Description
In a relatively short time, commutative algebra has grown in many directions. Over a period of nearly fifty years starting from the so-called homological period till today, the area has developed into a rich laboratory of methods, structures and problem-solving tools.One could say a distinct modern trend of commutative algebra is a strong interaction with various aspects of Combinatorics and Computer Algebra. This has resulted in a new sense of measuring for old assumptions, and a better understanding of old results.At the same time, Invariant Theory and Algebraic Geometry remain constituents of an everlasting classical source, responsible for important themes that have been developed in Commutative Algebra — such as deformation, linkage, algebraic tori and determinantal rings, etc.This volume of proceedings is well-entrenched on the lines of development outlined above. As such, it aims to keep researchers and mathematicians well-informed of the developments in the field.
Table of Contents
- Betti numbers sequences of simplicial complexes, Cohen-Macaulay types and moebius functions of partially ordered sets and related topics, T. Hibi
- specialization of Rees algebras with a view to tangent star algebras, G. Kennedy et al
- syzygies and walks, W. Bruns et al
- on affine fibrations, S.M. Bhatwadekar and A.K. Dutta
- certain curves are set-theoretic complete intersections, D.P. Patil
- the deviation two Gorenstein rings of Huneke and Ulrich, A.R. Kustin
- on the concept of perfectness by Macaulay, H. Bresinsky and W. Vogel
- Hilbert functions of bigraded algebras, D. Katz and S. Mandal
- reduction number, a-invariant and Rees algebras of ideal having small analytic deviation, V.T. Ngo
- the integral closure, W. Vasconcelos
- regular sequences and elimination, G. Scheja and U. Storch.
by "Nielsen BookData"
