Almost Gorenstein rings - towards a theory of higher dimension

作者:Goto Shiro*; Takahashi Ryo; Taniguchi Naoki
来源:Journal of Pure and Applied Algebra, 2015, 219(7): 2666-2712.
DOI:10.1016/j.jpaa.2014.09.022

摘要

The notion of almost Gorenstein local ring introduced by V. Barucci and R. Froberg 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.

  • 出版日期2015-7