C. Miguel

activity

20132017

most citedA note on commuting graphs of matrix rings over fields

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.RA2017

Generalized Quaternion Rings over $Z / n Z$ for an odd $n$

J. M. Grau, C. Miguel, A. M. oller-Marcén

We consider a generalization of the quaternion ring $(\frac{a , b}{R})$ over a commutative unital ring $R$ that includes the case when $a$ and $b$ are not units of $R$ . In th…

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…

math.RA2013

A Note on a Conjecture about Commuting Graphs

C. Miguel

We prove that the diameter of the commuting graph of the full ma- trix ring over the real numbers is at most five. This answers, in the affir- mative, a conjecture proposed by Akba…

Generalized Quaternion Rings over Z/nZ for an odd n

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

A note on commuting graphs of matrix rings over fields

A Note on a Conjecture about Commuting Graphs

Generalized Quaternion Rings over $Z / n Z$ for an odd $n$

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