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arXiv · 1403.3599

Almost Gorenstein rings - towards a theory of higher dimension -

Shiro Goto·Ryo Takahashi·Naoki Taniguchi
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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.

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Shiro Goto, Ryo Takahashi, Naoki Taniguchi. 2014-08-17. Almost Gorenstein rings - towards a theory of higher dimension -. https://arxiv.org/abs/1403.3599

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