Ulrich ideals and almost gorenstein rings

Shiro Goto, Ryo Takahashi, Naoki Taniguchi

研究成果: Article

5 引用 (Scopus)

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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.

元の言語English
ページ(範囲)2811-2823
ページ数13
ジャーナルProceedings of the American Mathematical Society
144
発行部数7
DOI
出版物ステータスPublished - 2016 7 1
外部発表Yes

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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