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 06 May 2026 - 4:18

Is a certain ring a Gorenstein ring?

Published on 06 May 2026 - 4:30

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

Published on 06 May 2026 - 14:20

Invertibility of trace duals of orders in number fields

Published on 07 May 2026 - 11:48

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

Published on 06 May 2026 - 14:45

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

Published on 07 May 2026 - 3:27

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

Published on 06 May 2026 - 14:20

Is the integral closure of a Gorenstein domain still Gorenstein?

Published on 06 May 2026 - 10:42

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

Published on 06 May 2026 - 14:20