Ulrich ideals and modules†

Authors

Shiro Goto, Meiji UniversityFollow
Kazuho Ozeki, Yamaguchi UniversityFollow
Ryo Takahaski, University of Nebraska-Lincoln and Nagoya UniversityFollow
Kei-Ichi Watanabe, Nihon UniversityFollow
Ken-Ichi Yoshida, Nihon UniversityFollow

Document Type

Article

Date of this Version

2013

Citation

Math. Proc. Camb. Phil. Soc. (2014), 156, 137–166; doi:10.1017/S0305004113000571

Comments

Copyright © 2013 Cambridge Philosophical Society. Used by permission.

Abstract

In 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.