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

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

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)3425-3436
Number of pages12
JournalJournal of Pure and Applied Algebra
Volume220
Issue number10
DOIs
Publication statusPublished - 2016 Oct 1
Externally publishedYes

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Rees Algebra
Regular Local Ring
Gorenstein Ring
Closed Ideals
Graded Ring
Gorenstein
Class

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

The almost Gorenstein Rees algebras over two-dimensional regular local rings. / Goto, Shiro; Matsuoka, Naoyuki; Taniguchi, Naoki; Yoshida, Ken ichi.

In: Journal of Pure and Applied Algebra, Vol. 220, No. 10, 01.10.2016, p. 3425-3436.

Research output: Contribution to journalArticle

Goto, Shiro ; Matsuoka, Naoyuki ; Taniguchi, Naoki ; Yoshida, Ken ichi. / The almost Gorenstein Rees algebras over two-dimensional regular local rings. In: Journal of Pure and Applied Algebra. 2016 ; Vol. 220, No. 10. pp. 3425-3436.
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