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Ulrich modules over Cohen-Macaulay local rings with minimal multiplicity (1711.00652v1)
Published 2 Nov 2017 in math.AC and math.RT
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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