Semilattices with Sectionally Antitone Bijections
نویسندگان
چکیده
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. AMS Mathematics Subject Classification (1991): 06A12, 06F99, 03G25,
منابع مشابه
Lattices and semilattices having an antitone involution in every upper interval
We study ∨-semilattices and lattices with the greatest element 1 where every interval [p,1] is a lattice with an antitone involution. We characterize these semilattices by means of an induced binary operation, the so called sectionally antitone involution. This characterization is done by means of identities, thus the classes of these semilattices or lattices form varieties. The congruence prop...
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تاریخ انتشار 2006