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arXiv · 1711.00652

Ulrich modules over Cohen-Macaulay local rings with minimal multiplicity

Toshinori Kobayashi·Ryo Takahashi
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Abstract

Let R be a Cohen-Macaulay local ring. In this paper we study the structure of Ulrich $R$-modules mainly in the case where R has minimal multiplicity. We explore generation of Ulrich R-modules, and clarify when the Ulrich R-modules are precisely the syzygies of maximal Cohen-Macaulay R-modules. We also investigate the structure of Ulrich R-modules as an exact category.

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Toshinori Kobayashi, Ryo Takahashi. 2017-11-02. Ulrich modules over Cohen-Macaulay local rings with minimal multiplicity. https://arxiv.org/abs/1711.00652

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