On realizing zero-divisor graphs of po-semirings

Details On realizing zero-divisor graphs of po-semirings On realizing zero-divisor graphs of po-semirings

2011-06-02

arxiv.org/abs/1106.0350v1

Mathematics

Rings and Algebras

16 pages, 5 figure

Scientific paper

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.

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