Shrikant Shekhar

most citedA Study of Good and Bad Artinian Gorenstein local Rings

2 citations · 2 across the 1 of their papers we have counts for

collaborators

2 papers

math.AC2026★ 2 cited

A Study of Good and Bad Artinian Gorenstein local Rings

Anjan Gupta, Shrikant Shekhar

We say that a local ring $R$ is good, in the sense of Roos, if all finitely generated $R$ -modules have rational PoincarÃ© series that share a common denominator; otherwise, $R$ is…

math.AC2025

On Tor-vanishing of local rings

Shrikant Shekhar, Anjan Gupta

Let $R$ be a local ring with residue field $k$ and $M$ , $N$ be finitely generated modules over $R$ . It is well known that $T o r_{i}^{R} (M, N) = 0$ for $i ≫ 0$ if $p d_{R} (M) < \infty$ or…