On realizing zero-divisor graphs of po-semirings

Source: arXiv

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 $R$ whose annihilating-ideal graph $\mathbb
{AG}(R)$ are either bipartite graphs or complete graphs with horns.


Available from: Tongsuo Wu, Jun 06, 2015
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