Ulrich ideals and modules†

By S. Goto, K. Ozeki, Ryo Takahashi, Kei-ichi Watanabe, KEN-ICHI Yoshida. Mathematical Proceedings of the Cambridge Philosophical Society, 2012

52 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/6c6962f08c51c3500a80d74fb284fa6bef53c64b