A.V. Kelarev, S.J. Quinn
A combinatorial property and power graphs of semigroups

Comment.Math.Univ.Carolinae 45,1 (2004) 1-7.

Abstract: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.

Keywords: sequences, power graphs, semigroups
AMS Subject Classification: 5C20, 05C25, 05C50