TY  - BOOK
AU  - Yoshino,Yūji
AU  - Matsumura,Hideyuki
TI  - Cohen-Macaulay modules over Cohen-Macaulay rings
T2  - London Mathematical Society lecture note series
SN  - 9780511600685 (ebook)
AV  - QA251.3 .Y67 1990
U1  - 512/.4 20
PY  - 1990///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Matsumura, Hideyuki,
KW  - Cohen-Macaulay rings
KW  - Cohen-Macaulay modules
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511600685
ER  -