paper

On realizing zero-divisor graphs of po-semirings

arXiv:1106.0350

Abstract

In this paper, we determine bipartite graphs and complete graphs with horns, which are realizable as zero-divisor graphs of po-semirings. As applications, we classify commutative rings whose annihilating-ideal graph are either bipartite graphs or complete graphs with horns.

16 pages, 5 figure