On varieties of semilattice-ordered semigroups

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	POLÁK Libor KUŘIL Martin
Year of publication	2005
Type	Article in Periodical
Magazine / Source	Semigroup Forum
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	variety; semilattice-ordered semigroup; admissible closusure operator
Description	We iniciate here a systematic equational classification of semilattice-ordered semigroups. We start with various examples. Then we consider semilattice-ordered semigroups satisfying the identity x^r=x. Finally, we reduce the classification to finding certain operators on relatively free semigroups.
Related projects:	Mathematical structures of algebra and geometry