Complemented ordered sets

@article{Chajda1992,
abstract = {We introduce the concept of complementary elements in ordered sets. If an ordered set $S$ is a lattice, this concept coincides with that for lattices. The connections between distributivity and the uniqueness of complements are shown and it is also shown that modular complemented ordered sets represents “geometries” which are more general than projective planes.},
author = {Chajda, Ivan},
journal = {Archivum Mathematicum},
keywords = {modular ordered set; distributive ordered set; complemented ordered set; projective plane; complemented ordered sets; complementarity; modularity; distributivity; projective planes},
language = {eng},
number = {1-2},
pages = {25-34},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Complemented ordered sets},
url = {http://eudml.org/doc/247351},
volume = {028},
year = {1992},
}

TY - JOUR
AU - Chajda, Ivan
TI - Complemented ordered sets
JO - Archivum Mathematicum
PY - 1992
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 028
IS - 1-2
SP - 25
EP - 34
AB - We introduce the concept of complementary elements in ordered sets. If an ordered set $S$ is a lattice, this concept coincides with that for lattices. The connections between distributivity and the uniqueness of complements are shown and it is also shown that modular complemented ordered sets represents “geometries” which are more general than projective planes.
LA - eng
KW - modular ordered set; distributive ordered set; complemented ordered set; projective plane; complemented ordered sets; complementarity; modularity; distributivity; projective planes
UR - http://eudml.org/doc/247351
ER -