List questions from gorenstein | MathQA

For complete local domain of dimension $1$, when does vanishing of $\text{Ext}^1_R(\omega_R, R)$ forces $R$ to be Gorenstein?

Published on 20 Nov 2021 - 1:22

Is a certain ring a Gorenstein ring?

Published on 24 Dec 2021 - 6:08

Localization of Cohen-Macaulay module of finite projective dimension at non-maximal prime ideal

Published on 21 Feb 2022 - 17:40

Invertibility of trace duals of orders in number fields

Published on 28 Mar 2022 - 11:44

Any module of grade $g$ can be approximated by a quasi-Gorenstein module of grade $g$?

Published on 28 Jul 2022 - 5:29

Does there exist a Gorenstein local ring $R$ such that $R/\sqrt 0$ is not Cohen-Macaulay?

Published on 05 Oct 2022 - 9:15

On $\bigcap_{I \lhd R} (I+\text{ann}_R I)$ in Artinian Gorenstein local ring

Published on 12 Oct 2022 - 5:31

Is the integral closure of a Gorenstein domain still Gorenstein?

Published on 29 Nov 2022 - 13:54

Size of the quotient of a Gorenstein ring with an ideal generated by a regular sequence

Published on 29 Nov 2022 - 14:02