Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596026 | Journal of Pure and Applied Algebra | 2015 | 47 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shiro Goto, Ryo Takahashi, Naoki Taniguchi,