J. Grau

activity

20102025

most citedOn the diameter of the commuting graph of the full matrix ring over the real numbers

9 citations · 36 across the 31 of their papers we have counts for

collaborators

Showing 2015 · math.RAShow all

2 papers · 2 filters

math.RA2015★ 1 cited

On power sums of matrices over a finite commutative ring

P. Fortuny, J. M. Grau, A. M. Oller-Marcén +1

In this paper we deal with the problem of computing the sum of the $k$ -th powers of all the elements of the matrix ring $M_{d} (R)$ with $d > 1$ and $R$ a finite commutative ri…

math.RA2015

On the zero divisor graphs of the ring of Lipschitz integers modulo $n$

Jose Maria Grau, Celino Miquel, Antonio Oller-Marcen

This article studies the zero divisor graphs of the ring of Lipschitz integers modulo $n$ . In particular we focus on the number of vertices, the diameter and the girth. We also giv…

On power sums of matrices over a finite commutative ring

On the zero divisor graphs of the ring of Lipschitz integers modulo n

On the zero divisor graphs of the ring of Lipschitz integers modulo $n$