"On finitely related semigroups"
, in Semigroup Forum, Vol. 86, Nummer 3, Seite(n) 613 - 633, 2013, ISSN: 0037-1912
On finitely related semigroups
Sprache des Titels:
An algebraic structure is finitely related (has finite degree) if its term functions are determined by some finite set of finitary relations. We show that the following finite semigroups are finitely related: commutative semigroups, 3-nilpotent monoids, regular bands, semigroups with a single idempotent, and Clifford semigroups. Further we provide the first example of a semigroup that is not finitely related: the 6-element Brandt monoid. This answers a question by Davey, Jackson, Pitkethly, and Szabo.