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arXiv · 1804.06643

The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one

Shiro Goto·Ryotaro Isobe·Shinya Kumashiro
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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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Shiro Goto, Ryotaro Isobe, Shinya Kumashiro. 2018-04-18. The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one. https://arxiv.org/abs/1804.06643

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