The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one
classification
🧮 math.AC
keywords
idealsringsulrichchainscohen-macaulaycorrespondencelocalanalyzed
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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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