中文

Sub-semigroups determined by the zero-divisor graph

环与代数 2018-04-24 v1

摘要

In this paper we study sub-semigroups of a zero-divisor semigroup SS determined by properties of the zero-divisor graph Γ(S)\Gamma(S). We use these sub-semigroups to study the correspondence between zero- divisor semigroups and zero-divisor graphs. We study properties of sub- semigroups of Boolean semigroups via the zero-divisor graph. As an application, we provide a characterization of the graphs which are zero- divisor graphs of Boolean rings.

关键词

引用

@article{arxiv.math/0512568,
  title  = {Sub-semigroups determined by the zero-divisor graph},
  author = {Tongsuo Wu and Dancheng Lu},
  journal= {arXiv preprint arXiv:math/0512568},
  year   = {2018}
}

备注

14 pages