Journal Article Ulrich ideals and almost Gorenstein rings

Goto, Shiro  ,  Takahashi, Ryo  ,  Taniguchi, Naoki

144pp.2811 - 2823 , 2015-12 , American Mathematical Society
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.

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