Almost Gorenstein rings arising from fiber products
Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 383-400
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The purpose of this paper is, as part of the stratification of Cohen–Macaulay rings, to investigate the question of when the fiber products are almost Gorenstein rings. We show that the fiber product $R \times _T S$ of Cohen–Macaulay local rings R, S of the same dimension $d>0$ over a regular local ring T with $\dim T=d-1$ is an almost Gorenstein ring if and only if so are R and S. In addition, the other generalizations of Gorenstein properties are also explored.
Mots-clés :
fiber product, Cohen–Macaulay ring, Gorenstein ring, almost Gorenstein ring
Endo, Naoki; Goto, Shiro; Isobe, Ryotaro. Almost Gorenstein rings arising from fiber products. Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 383-400. doi: 10.4153/S000843952000051X
@article{10_4153_S000843952000051X,
author = {Endo, Naoki and Goto, Shiro and Isobe, Ryotaro},
title = {Almost {Gorenstein} rings arising from fiber products},
journal = {Canadian mathematical bulletin},
pages = {383--400},
year = {2021},
volume = {64},
number = {2},
doi = {10.4153/S000843952000051X},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S000843952000051X/}
}
TY - JOUR AU - Endo, Naoki AU - Goto, Shiro AU - Isobe, Ryotaro TI - Almost Gorenstein rings arising from fiber products JO - Canadian mathematical bulletin PY - 2021 SP - 383 EP - 400 VL - 64 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/S000843952000051X/ DO - 10.4153/S000843952000051X ID - 10_4153_S000843952000051X ER -
%0 Journal Article %A Endo, Naoki %A Goto, Shiro %A Isobe, Ryotaro %T Almost Gorenstein rings arising from fiber products %J Canadian mathematical bulletin %D 2021 %P 383-400 %V 64 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/S000843952000051X/ %R 10.4153/S000843952000051X %F 10_4153_S000843952000051X
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