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 $\vee$-semilat\/tices and lat\/tices with the greatest element 1 where every interval [p,1] is a lat\/tice with an antitone involution. We characterize these semilat\/tices 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 semilat\/tices or lat\/tices form varieties. The congruence properties of these varieties are investigated.},
author = {Chajda, Ivan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {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 $\vee$-semilat\/tices and lat\/tices with the greatest element 1 where every interval [p,1] is a lat\/tice with an antitone involution. We characterize these semilat\/tices 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 semilat\/tices or lat\/tices form varieties. The congruence properties of these varieties are investigated.
LA - eng
KW - semilattice; antitone involution
UR - http://eudml.org/doc/249201
ER -