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The Structure of Chains of Ulrich Ideals in Cohen-Macaulay Local Rings of Dimension One
Shiro Goto
,
Ryotaro Isobe
,
Shinya Kumashiro
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.