Ulrich ideals and modules-Reference-Cited by-同舟云学术

Ulrich ideals and modules

Published:2013-09-10 Issue:1 Volume:156 Page:137-166
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

GOTO SHIRO,OZEKI KAZUHO,TAKAHASHI RYO,WATANABE KEI-ICHI,YOSHIDA KEN-ICHI

Abstract

AbstractIn this paper we study Ulrich ideals of and Ulrich modules over Cohen--Macaulay local rings from various points of view. We determine the structure of minimal free resolutions of Ulrich modules and their associated graded modules, and classify Ulrich ideals of numerical semigroup rings and rings of finite CM-representation type.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

1. Cohen-Macaulay Modules over Cohen-Macaulay Rings

2. Form rings and regular sequences

3. The homological degree of a module

4. Ideals generated by R-sequences

5. Gorenstein rings and modules with high numbers of generators

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