Ulrich ideals and almost gorenstein rings

Shiro Goto; Ryo Takahashi; Naoki Taniguchi

doi:10.1090/proc/12970

Ulrich ideals and almost gorenstein rings

Shiro Goto, Ryo Takahashi, Naoki Taniguchi

研究成果: Article

5 引用（Scopus）

抜粋

The structure of the complex RHom_R(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
巻	144
発行部数	7
DOI	https://doi.org/10.1090/proc/12970
出版物ステータス	Published - 2016 7 1
外部発表	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

文献にアクセス

10.1090/proc/12970

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これを引用

Goto, S., Takahashi, R., & Taniguchi, N. (2016). Ulrich ideals and almost gorenstein rings. Proceedings of the American Mathematical Society, 144(7), 2811-2823. https://doi.org/10.1090/proc/12970

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