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.
| Original language | English |
|---|---|
| Pages (from-to) | 2666-2712 |
| Number of pages | 47 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 219 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2015 Jul 1 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Algebra and Number Theory
Cite this
Almost Gorenstein rings - towards a theory of higher dimension. / Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki.
In: Journal of Pure and Applied Algebra, Vol. 219, No. 7, 01.07.2015, p. 2666-2712.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Almost Gorenstein rings - towards a theory of higher dimension
AU - Goto, Shiro
AU - Takahashi, Ryo
AU - Taniguchi, Naoki
PY - 2015/7/1
Y1 - 2015/7/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84924975525&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84924975525&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2014.09.022
DO - 10.1016/j.jpaa.2014.09.022
M3 - Article
AN - SCOPUS:84924975525
VL - 219
SP - 2666
EP - 2712
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 7
ER -