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 › 査読

8 被引用数 (Scopus)

抄録

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.

本文言語	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
号	7
DOI	https://doi.org/10.1090/proc/12970
出版ステータス	Published - 2016 7月 1
外部発表	はい

ASJC Scopus subject areas

数学 (全般)
応用数学

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AB - 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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KW - Cohen–Macaulay ring

KW - Ulrich ideal

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Ulrich ideals and almost gorenstein rings

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