Z. Avaliani, Sh. Makharadze

Maximal Subgroups of Some Classes of Semigroups of Binary Relations

Abstract:
Four classes of complete semigroups of binary relations are considered. It is proved for the semigroups of these classes that maximal subgroups of these semigroups are groups whose order is not greater than two.

Keywords:
Semigroup, maximal semigroup, complete semigroup, binary relation, idempotent element

MSC 2000: 20M10