The almost Gorenstein Rees algebras over two-dimensional regular local rings

Shiro Goto; Naoyuki Matsuoka; Naoki Taniguchi; Ken ichi Yoshida

doi:10.1016/j.jpaa.2016.04.007

The almost Gorenstein Rees algebras over two-dimensional regular local rings

Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi^*, Ken ichi Yoshida

^*この研究の対応する著者

研究成果: Article › 査読

10 被引用数 (Scopus)

抄録

Let (R,m) be a two-dimensional regular local ring with infinite residue class field. Then the Rees algebra R(I)=⌖_n≥0Iⁿ of I is an almost Gorenstein graded ring in the sense of [6] for every m-primary integrally closed ideal I in R.

本文言語	English
ページ（範囲）	3425-3436
ページ数	12
ジャーナル	Journal of Pure and Applied Algebra
巻	220
号	10
DOI	https://doi.org/10.1016/j.jpaa.2016.04.007
出版ステータス	Published - 2016 10月 1
外部発表	はい

ASJC Scopus subject areas

代数と数論

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10.1016/j.jpaa.2016.04.007

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AU - Taniguchi, Naoki

AU - Yoshida, Ken ichi

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AB - Let (R,m) be a two-dimensional regular local ring with infinite residue class field. Then the Rees algebra R(I)=⌖n≥0In of I is an almost Gorenstein graded ring in the sense of [6] for every m-primary integrally closed ideal I in R.

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The almost Gorenstein Rees algebras over two-dimensional regular local rings

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