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Maximal Cohen-Macaulay Modules over Cohen-Macaulay Rings : London Mathematical Society Student Texts - Y. Yoshino

Maximal Cohen-Macaulay Modules over Cohen-Macaulay Rings

London Mathematical Society Student Texts

Paperback

Published: 27th August 1990
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The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists.

"In this excellently written book the author presents all the significant algebraic results on this topic...This book gives a careful, self-contained introduction to the theory of maximal Cohen-Macaulay modules readable by research students with thorough knowledge in commutative and general algebra; but it also may serve as a reference work." JUrgen Herzog, Mathematical Reviews

Preliminaries
AR sequences and irreducible morphisms
Isolated singularities
Auslander categories
AR quivers
The Brauer-Thrall theorem
Matrix factorizations
Simple singularities
One-dimensional Cm rings of finite representation type
McKay graphs
Two-dimensional CM rings of finite representation type
Kn√∑rrer's periodicity
Grothendieck groups
CM modules on quadrics
Graded CM modules on graded CM rings
CM modules on toric singularities
Homogeneous CM rings of finite representation type
Addenda
References
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521356947
ISBN-10: 0521356946
Series: London Mathematical Society Student Texts
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 188
Published: 27th August 1990
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.96 x 15.49  x 1.22
Weight (kg): 0.29