Graph monoids |
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Authors: | K. H. Kim L. G. Makar-Limanov F. W. Roush |
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Affiliation: | (1) Mathematics Research Group, Alabama State University, 36101 Montgomery, Alabama;(2) Department of Mathematics, Wayne State University, 48202 Detroit, Michigan, USA |
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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 |
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