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Commutative Algebra : Durham 1981 - R. Y. Sharp

Commutative Algebra

Durham 1981

By: R. Y. Sharp (Editor)

Paperback Published: 28th March 1983
ISBN: 9780521271257
Number Of Pages: 264

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This book is concerned with the research conducted in the late 1970s and early 1980s in the theory of commutative Neotherian rings. It consists of articles by invited speakers at the Symposium of Commutative Algebra held at the University of Durham in July 1981; these articles are all based on lectures delivered at the Symposium. The purpose of this book is to provide a record of at least some aspects of the Symposium, which several of the world leaders in the field attended. Several articles are included which provide surveys, incorporating historical perspective, details of progress made and indications of possible future lines of investigation. The book will be of interest to scholars of commutative and local algebra.

Addresses of contributors
List of participants
The Local Homological Conjectures, Big Cohen-Macaulay Modules, and Related Topics
The syzygy problem: a new proof and historical perspective
The theory of homological dimensions of complexes
Complexes of injective modules
The local homological conjectures
The rank of a module
Modules of generalized fractions and balanced big Cohen-Macaulay modules
Sur la th©orie des complexes parfaits
Determinantal Ideals, Finite Free Resolutions, and Related Topics
Some exact complexes and filtrations related to certain special Young diagrams
The canonical module of a determinantal ring
The MacRae invariant
Finite free resolutions and some basic concepts of commutative algebra
Multiplicity Theory, Hilbert and Poincar© Series, Associated Graded Rings, and Related Topics
Blowing-up of Buschsbaum rings
Necessary conditions for an analytical algebra to be strict
Multiplicities, Hilbert functions and degree functions
Finiteness conditions in commutative algebra and solution of a problem of Vasconcelos
On the use of graded Lie algebras in the theory of local tings
Reductions, local cohomology and Hilbert functions of local rings
Further problems
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521271257
ISBN-10: 0521271258
Series: Cambridge Computer Science Texts
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 264
Published: 28th March 1983
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.52
Weight (kg): 0.39

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