Almost Gorenstein rings - towards a theory of higher dimension -
Commutative Algebra
2014-08-19 v2
Abstract
The notion of almost Gorenstein local ring introduced by V. Barucci and R. Fr\"oberg 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.
Keywords
Cite
@article{arxiv.1403.3599,
title = {Almost Gorenstein rings - towards a theory of higher dimension -},
author = {Shiro Goto and Ryo Takahashi and Naoki Taniguchi},
journal= {arXiv preprint arXiv:1403.3599},
year = {2014}
}
Comments
36 pages, 1 figure, to appear in J. Pure and Appl. Alg