2011
DOI: 10.48550/arxiv.1106.1301
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Almost Gorenstein rings

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Cited by 2 publications
(1 citation statement)
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“…[1] and [12]). In [10], Goto, Matsuoka and Phuong studied, in particular, when Nagata's idealization produces an almost Gorenstein ring; the second author of the present paper studied the same problem for the duplication in his master thesis (see [19]). In this paper we characterize those ideals E of S for which S ⋊ ⋉ b E is almost symmetric, obtaining a numerical analogue of the results of [10].…”
Section: Introductionmentioning
confidence: 99%
“…[1] and [12]). In [10], Goto, Matsuoka and Phuong studied, in particular, when Nagata's idealization produces an almost Gorenstein ring; the second author of the present paper studied the same problem for the duplication in his master thesis (see [19]). In this paper we characterize those ideals E of S for which S ⋊ ⋉ b E is almost symmetric, obtaining a numerical analogue of the results of [10].…”
Section: Introductionmentioning
confidence: 99%