Anjan Gupta

collaborators

3 papers

math.AC2025

A generalization of Rao's theorem to graded $R$ -subalgebras of $R [t]$

Diksha Garg, Anjan Gupta

Let $R$ be a Noetherian local ring of Krull dimension $d$ such that $(d!) R = R$ , and let $A$ be a graded $R$ -subalgebra of the polynomial algebra $R [t]$ . We prove that every unimod…

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…

math.AC2025

On Projective modules over graded $R$ -subalgebras of $R [X, 1/ X]$

Diksha Garg, Anjan Gupta

Let $R$ be a Noetherian ring of dimension $d$ and $A$ be a graded $R$ -subalgebra of $R [X, 1/ X]$ . Let $P$ be a projective module over $A$ of rank $r \geq max {d + 1, 2}$ and $\v=(a,p)…

A generalization of Rao's theorem to graded R-subalgebras of R[t]

On Tor-vanishing of local rings

On Projective modules over graded R-subalgebras of R[X,1/X]

A generalization of Rao's theorem to graded $R$ -subalgebras of $R [t]$

On Projective modules over graded $R$ -subalgebras of $R [X, 1/ X]$