Almost Gorenstein rings - towards a theory of higher dimension

Shiro Goto, Ryo Takahashi, Naoki Taniguchi

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

The notion of almost Gorenstein local ring introduced by V. Barucci and R. Fröberg for one-dimensional Noetherian local rings which are analytically unramified has been generalized by S. Goto, N. Matsuoka and T.T. Phuong to one-dimensional Cohen-Macaulay local rings, possessing canonical ideals. The present purpose is to propose a higher-dimensional notion and develop the basic theory. The graded version is also posed and explored.

Original languageEnglish
Pages (from-to)2666-2712
Number of pages47
JournalJournal of Pure and Applied Algebra
Volume219
Issue number7
DOIs
Publication statusPublished - 2015 Jul 1
Externally publishedYes

Fingerprint

Gorenstein Ring
Local Ring
Higher Dimensions
Cohen-Macaulay Ring
Noetherian Ring
High-dimensional

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Almost Gorenstein rings - towards a theory of higher dimension. / Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki.

In: Journal of Pure and Applied Algebra, Vol. 219, No. 7, 01.07.2015, p. 2666-2712.

Research output: Contribution to journalArticle

Goto, Shiro ; Takahashi, Ryo ; Taniguchi, Naoki. / Almost Gorenstein rings - towards a theory of higher dimension. In: Journal of Pure and Applied Algebra. 2015 ; Vol. 219, No. 7. pp. 2666-2712.
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