Yoshino, Yuji Cohen-Macaulay modules over Cohen-Macaulay rings. (English) Zbl 0745.13003 London Mathematical Society Lecture Note Series. 146. Cambridge (UK): Cambridge University Press. 177 p. (1990). In these lecture notes the author gives an approach for the classification of maximal Cohen-Macaulay modules over a local Henselian ring of an isolated singularity using the Auslander-Reiten theory (Auslander-Reiten sequences, quivers up to the Brauer-Thrall theorem). Several cases are treated as: simple singularities, the one-dimensional and the two-dimensional case, modules on quadrics, on toric singularities. Reviewer: G.Pfister (Berlin) Cited in 5 ReviewsCited in 245 Documents MSC: 13C14 Cohen-Macaulay modules 13-02 Research exposition (monographs, survey articles) pertaining to commutative algebra 13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) 16G70 Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers 16G50 Cohen-Macaulay modules in associative algebras Keywords:classification of maximal Cohen-Macaulay modules; Henselian ring; isolated singularity; Auslander-Reiten sequences; quivers PDFBibTeX XMLCite \textit{Y. Yoshino}, Cohen-Macaulay modules over Cohen-Macaulay rings. Cambridge (UK): Cambridge University Press (1990; Zbl 0745.13003)