Geodesic
A combinatorial property and power graphs of semigroups
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 1, pp. 1-7.

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Research on combinatorial properties of sequences in groups and semigroups originates from Bernhard Neumann's theorem answering a question of Paul Erd"{o}s. For results on related combinatorial properties of sequences in semigroups we refer to the book [3]. In 2000 the authors introduced a new combinatorial property and described all groups satisfying it. The present paper extends this result to all semigroups.
Classification : 05C20, 05C25, 20M99
Keywords: sequences; power graphs; semigroups 
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Kelarev, A. V.; Quinn, S. J. A combinatorial property and power graphs of semigroups. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 1, pp. 1-7. http://geodesic.mathdoc.fr/item/CMUC_2004__45_1_a0/