Lattice-theoretically characterized classes of finite bands

R. Thron and J. Koppitz

Address. Martin-Luther-Universitaet Halle-Wittenberg, Fachbereich Mathematik und Informatik, 06099 Halle/Saale, Germany


There are investigated classes of finite bands such that their subsemigroup lattices
satisfy certain lattice-theoretical properties which are related with the cardinalities
of the Green's classes of the considered bands, too. Mainly, there are given
disjunctions of equations which define the classes of finite bands.

AMSclassification. Primary: 20M10; Secondary: 06B05.

Keywords. Subsemigroup lattices, finite bands.