The Structures of Zero-divisor Semigroups with Graph Kn + 1
Tongsuo Wu, Fan Cheng
Abstract
In this paper, we determine the structures of zero-divisor semigroups whose graph is Kn + 1, the complete graph Kn together with an end vertex. We also present a formula to calculate the number of non-isomorphic zero-divisor semigroups corresponding to the complete graph Kn, for all positive integer n.
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