A Study of quasi-Gorenstein rings II: Deformation of quasi-Gorenstein property

Autor:	Shimomoto, Kazuma, Taniguchi, Naoki, Tavanfar, Ehsan
Rok vydání:	2018
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	In the present article, we investigate the following deformation problem. Let $(R,\mathfrak m)$ be a local (graded local) Noetherian ring with a (homogeneous) regular element $y \in \mathfrak m$ and assume that $R/yR$ is quasi-Gorenstein. Then is $R$ quasi-Gorenstein? We give positive answers to this problem under various assumptions, while we present a counter-example in general. We emphasize that absence of the Cohen-Macaulay condition requires some delicate studies. Comment: To appear in J. Algebra
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.03181 Zobrazit plný text záznamu View this record from Arxiv