C. Miguel

activity

20132017

most citedOn the structure of quaternion rings over

Z / n Z

2 citations · 3 across the 5 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.RA2015

On the Diameter of the Commuting Graph of a Full Matrix Ring over a Division Ring

C. Miguel

For a division ring D, finite dimensional over its center F, we give a condiction for the connectedness of the commuting graph of a matrix ring over $D$ . Furthermore, we prove that…

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…

math.RA2015★ 1 cited

A note on commuting graphs of matrix rings over fields

C. Miguel

We will give a short proof of the fact that if the algebraic closure of a field $F$ is a finite extension, then for $n \geq 3$ the commuting graph $Γ (M_{n} (F))$ is con…

On the Diameter of the Commuting Graph of a Full Matrix Ring over a Division Ring

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

A note on commuting graphs of matrix rings over fields

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