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Graph monoids
Authors:K. H. Kim  L. G. Makar-Limanov  F. W. Roush
Affiliation:(1) Mathematics Research Group, Alabama State University, 36101 Montgomery, Alabama;(2) Department of Mathematics, Wayne State University, 48202 Detroit, Michigan, USA
Abstract:
A graph semigroup refers to a monoid whose defining relations are of the form xixj=xjxi. We describe the centralizer of an arbitrary element of a graph semigroup, show that there exists a unique factorization of any element into commuting parts, and prove related results. Dedicated to L. M. Gluskin on the occasion of his sixtieth birthday
Keywords:
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