Ganesh S. Kadu

activity

20112026

collaborators

5 papers

math.AC2026

Zero divisors of Gorenstein Rings

Ganesh S. Kadu, Vishnu Tanpure

Let $R$ be a commutative Artinian ring. We consider two graphs associated to $R$ , namely the compressed zero-divisor graph $Γ_{E} (R)$ and the associate class graph $Γ_{A} (R)$ . Partitio…

math.GR2025

Enhanced power graph from the power graph of a group

Amar S. Pote, Ganesh S. Kadu

The power graph of a group $G$ is a graph with vertex set $G$ , where two distinct vertices $a$ and $b$ are adjacent if one of $a$ and $b$ is a power of the other. Similarly, the en…

math.CO2020

On the problem of the finiteness of the compressed zero divisor graphs of Artinian rings

Ganesh S. Kadu

Let R be an Artinian ring and G be the compressed zero-divisor graph associated to R. The question of when the clique number of compressed zero-divisor graphs is finite was raised…

math.AC2019

Bass and Betti Numbers of $A / I^{n} .$

Ganesh S. Kadu, Tony J. Puthenpurakal

Let $(A, \m, k)$ be a Gorenstein local ring of dimension $d \geq 1.$ Let $I$ be an ideal of $A$ with $\htt(I) \geq d-1.$ We prove that the numerical function \[ n \mapsto \ell(\ext…

math.AC2011

Analytic Deviation One Ideals and Test Modules