National Science Library of Georgia

Image from Google Jackets

Cohen-Macaulay modules over Cohen-Macaulay rings / Yuji Yoshino.

By: Contributor(s): Material type: TextTextLanguage: English Original language: Japanese Series: London Mathematical Society lecture note series ; 146.Publisher: Cambridge : Cambridge University Press, 1990Description: 1 online resource (177 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511600685 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512/.4 20
LOC classification:
  • QA251.3 .Y67 1990
Online resources:
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.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

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.

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.

There are no comments on this title.

to post a comment.
Copyright © 2023 Sciencelib.ge All rights reserved.