English

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

Rings and Algebras 2015-05-04 v1

Abstract

This article studies the zero divisor graphs of the ring of Lipschitz integers modulo nn. In particular we focus on the number of vertices, the diameter and the girth. We also give some results regarding the domination number of these graphs.

Keywords

Cite

@article{arxiv.1505.00102,
  title  = {On the zero divisor graphs of the ring of Lipschitz integers modulo $n$},
  author = {Jose Maria Grau and Celino Miquel and Antonio Oller-Marcen},
  journal= {arXiv preprint arXiv:1505.00102},
  year   = {2015}
}