On a generalization of Ulrich modules and its applications
| Autor: | Celikbas, Ela, Celikbas, Olgur, Lyle, Justin, Takahashi, Ryo, Yao, Yongwei |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We study a modified version of the classical Ulrich modules, which we call $c$-Ulrich. Unlike the traditional setting, $c$-Ulrich modules always exist. We prove that these modules retain many of the essential properties and applications observed in the literature. Additionally, we reveal their significance as obstructions to Cohen-Macaulay properties of tensor products. Leveraging this insight, we show the utility of these modules in testing the finiteness of homological dimensions across various scenarios. Comment: 22 pages |
| Databáze: | arXiv |
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