Article ID Journal Published Year Pages File Type
4596026 Journal of Pure and Applied Algebra 2015 47 Pages PDF
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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Physical Sciences and Engineering Mathematics Algebra and Number Theory
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