A New Graph Structure of
Commutative Semigroups |
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| Authors: | Miao Zuo Tongsuo Wu |
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| Institution: | (1) Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China |
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| Abstract: | In this paper, a new
zero-divisor graph $\overline{\G}(S)$ is defined and studied for a
commutative semigroup $S$ with zero element. The properties and
the structure of the graph are studied; for any complete graph and
complete bipartite graph $G$, commutative semigroups $S$ are
constructed such that the graph $G$ is isomorphic to
$\overline{\G}(S)$. |
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| Keywords: | |
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