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The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one (1804.06643v1)

Published 18 Apr 2018 in math.AC

Abstract: This paper studies Ulrich ideals in one-dimensional Cohen-Macaulay local rings. A correspondence between Ulrich ideals and overrings is given. Using the correspondence, chains of Ulrich ideals are closely explored. The specific cases where the rings are of minimal multiplicity and \operatorname{GGL} rings are analyzed.

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