2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.AC2026
A criterion for modules over Gorenstein local rings to have rational Poincaré series
Anjan Gupta
We prove that modules over an Artinian Gorenstein local ring have rational Poincaré series sharing a common denominator if $R/\soc(R)$ is a Golod ring. If is a Gorenstein…
math.AC2026★ 2 cited
A Study of Good and Bad Artinian Gorenstein local Rings
Anjan Gupta, Shrikant Shekhar
We say that a local ring is good, in the sense of Roos, if all finitely generated -modules have rational Poincaré series that share a common denominator; otherwise, is…