Almost Gorenstein rings - towards a theory of higher dimension

Shiro Goto, Ryo Takahashi, Naoki Taniguchi

研究成果: Article査読

44 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)2666-2712
ページ数47
ジャーナルJournal of Pure and Applied Algebra
219
7
DOI
出版ステータスPublished - 2015 7 1
外部発表はい

ASJC Scopus subject areas

  • 代数と数論

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