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The Structure of Chains of Ulrich Ideals in Cohen-Macaulay Local Rings of Dimension One

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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… Click to show full 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 GGL rings are analyzed.

Keywords: cohen macaulay; macaulay local; chains ulrich; structure chains; local rings; ulrich ideals

Journal Title: Acta Mathematica Vietnamica
Year Published: 2018

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