Almost Gorenstein rings - towards a theory of higher dimension

Shiro Goto, Ryo Takahashi, Naoki Taniguchi

Research output: Contribution to journalArticlepeer-review

36 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

ASJC Scopus subject areas

  • Algebra and Number Theory

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