S. Patra

works on

adequate partial semigroups 1 central sets 1 quasi-central sets 1 topological dynamics 1 ultrafilters 1

From the 1 of 11 linked papers with an AI index.

activity

20242026

collaborators

Showing math.ACShow all

2 papers · 1 filter

math.AC2026

Ideal Zero-Product Probability in Finite Commutative Rings

Sukrit Chakraborty, Sourav Kanti Patra

We introduce the \emph{ideal zero-product probability}, a new probabilistic invariant associated with a finite commutative ring $R$ , defined by \[ ζ_k(R) = \frac{ |\{(I_1,\ldots,I_…

math.AC2025

Graded Betti numbers of a hyperedge ideal associated to join of graphs

Sourav Kanti Patra, Amit Roy

Let $G$ be a finite simple graph on the vertex set $V (G)$ and let $r$ be a positive integer. We consider the hypergraph $Con_{r} (G)$ whose vertices are the vertices of $G$ a…