Ulrich ideals and modules
Commutative Algebra
2013-06-07 v2 Algebraic Geometry
Representation Theory
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.
Cite
@article{arxiv.1206.3197,
title = {Ulrich ideals and modules},
author = {Shiro Goto and Kazuho Ozeki and Ryo Takahashi and Kei-ichi Watanabe and Ken-ichi Yoshida},
journal= {arXiv preprint arXiv:1206.3197},
year = {2013}
}
Comments
31 pages, to appear in Math. Proc. Cambridge Philos. Soc. Section 9 in the previous version will be included in another paper