Ulrich ideals and almost Gorenstein rings

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Abstract

The structure of the complex RHomR(R=I;R) is explored for an Ulrich ideal I in a Cohen{Macaulay local ring R. As a consequence, it is proved that in a one- dimensional almost Gorenstein but non-Gorenstein local ring, the only possible Ulrich ideal is the maximal ideal. It is also studied when Ulrich ideals have the same minimal number of generators.

Journal

  • Proceedings of the American Mathematical Society

    Proceedings of the American Mathematical Society (144), 2811-2823, 2015-12

    American Mathematical Society

Codes

  • NII Article ID (NAID)
    120005844131
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    1088-6826
  • Data Source
    IR 
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