SEMILATTICES WITH SECTIONALLY ANTITONE BIJECTIONS
Ivan Chajda · 2005
Abstract. We study ∨-semilattices with the greatest element 1 where on each interval [a,1] an antitone bijection is defined. We characterize these semilattices by means of two induced binary operations proving that the resulting algebras form a variety. The congruence properties of this variety and the properties of the underlying semilattices are investigated. We show that this variety contains a single minimal subquasivariety.