2022
DOI: 10.48550/arxiv.2201.02398
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On the theory of generalized Ulrich modules

Abstract: In this paper we further develop the theory of generalized Ulrich modules over Cohen-Macaulay local rings introduced in 2014 by Goto, Ozeki, Takahashi, Watanabe and Yoshida. The term generalized refers to the fact that Ulrich modules are taken with respect to a zero-dimensional ideal which is not necessarily the maximal ideal, the latter situation corresponding to the classical theory from the 80's; despite the apparent naivety of the idea, this passage adds considerable depth to the theory and enlarges its ho… Show more

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