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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.
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 
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/
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