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Author Yoshino, Yūji, 1954-

Title Cohen-Macaulay modules over Cohen-Macaulay rings / Yuji Yoshino
Published Cambridge ; New York : Cambridge University Press, 1990


Description 1 online resource (177 pages)
Series London Mathematical Society lecture note series ; 146
London Mathematical Society lecture note series ; 146.
Contents 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 -- Knörrer'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
Summary 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
Notes "Dedicated to Professor Hideyuki Matsumura on his sixtieth birthday."
Bibliography Includes bibliographical references (pages 170-173) and indexes
Notes Print version record
Subject Matsumura, Hideyuki, 1930-
SUBJECT Matsumura, Hideyuki, 1930- fast
Subject Cohen-Macaulay rings.
Cohen-Macaulay modules.
MATHEMATICS -- Algebra -- Intermediate.
Cohen-Macaulay modules
Cohen-Macaulay rings
Anneaux commutatifs.
Modules (Algèbre)
Genre/Form Festschriften
Form Electronic book
Author Matsumura, Hideyuki, 1930-
ISBN 9781107361478