The Role of Halaš Identity in Orthomodular Lattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 1, pp. 19-24
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We prove that a certain identity introduced by R. Halaš for classifying basic algebras can be used for characterizing orthomodular lattices in the class of ortholattices with antitone involutions on every principal filter.
Classification :
03G25, 06C15
Keywords: ortholattice; orthomodular lattice; antitone involution; principal filter; basic algebra
Keywords: ortholattice; orthomodular lattice; antitone involution; principal filter; basic algebra
@article{AUPO_2014__53_1_a1,
author = {Chajda, Ivan},
title = {The {Role} of {Hala\v{s}} {Identity} in {Orthomodular} {Lattices}},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {19--24},
publisher = {mathdoc},
volume = {53},
number = {1},
year = {2014},
mrnumber = {3329228},
zbl = {06416939},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2014__53_1_a1/}
}
TY - JOUR AU - Chajda, Ivan TI - The Role of Halaš Identity in Orthomodular Lattices JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 2014 SP - 19 EP - 24 VL - 53 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AUPO_2014__53_1_a1/ LA - en ID - AUPO_2014__53_1_a1 ER -
Chajda, Ivan. The Role of Halaš Identity in Orthomodular Lattices. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 1, pp. 19-24. http://geodesic.mathdoc.fr/item/AUPO_2014__53_1_a1/