Lattices and semilattices having an antitone involution in every upper interval

Chajda, Ivan. "Lattices and semilattices having an antitone involution in every upper interval." Commentationes Mathematicae Universitatis Carolinae 44.4 (2003): 577-585. <http://eudml.org/doc/249201>.

@article{Chajda2003,
abstract = {We study $\vee $-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 properties of these varieties are investigated.},
author = {Chajda, Ivan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semilattice; lattice; antitone involution; congruence permutability; weak regularity; semilattice; antitone involution},
language = {eng},
number = {4},
pages = {577-585},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Lattices and semilattices having an antitone involution in every upper interval},
url = {http://eudml.org/doc/249201},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Chajda, Ivan
TI - Lattices and semilattices having an antitone involution in every upper interval
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 4
SP - 577
EP - 585
AB - We study $\vee $-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 properties of these varieties are investigated.
LA - eng
KW - semilattice; lattice; antitone involution; congruence permutability; weak regularity; semilattice; antitone involution
UR - http://eudml.org/doc/249201
ER -