D. Ghosh

collaborators

2 papers

math.AC2026

Finite homological dimension of Hom, vanishing of Ext, and applications to divisor class group

Souvik Dey, Dipankar Ghosh

For finitely generated modules $M$ and $N$ over a commutative Noetherian local ring $R$ , we give various sufficient criteria for detecting freeness of $M$ or $N$ via vanishing of…

math.AC2026

Linear resolution of products of monomial ideals related to maximal minors

Arindam Banerjee, Dipankar Ghosh, S. Selvaraja

Let $X$ be an $m \times n$ matrix of distinct indeterminates over a field $K$ , where $m \leq n$ . Set the polynomial ring $K [X] := K [X_{ij} : 1 \leq i \leq m, 1 \leq j \leq n]$ …