Convex isomorphism of $Q$-lattices

Emanovský, Petr. "Convex isomorphism of $Q$-lattices." Mathematica Bohemica 118.1 (1993): 37-42. <http://eudml.org/doc/29173>.

@article{Emanovský1993,
abstract = {V. I. Marmazejev introduced in [3] the following concept: two lattices are convex isomorphic if their lattices of all convex sublattices are isomorphic. He also gave a necessary and sufficient condition under which the lattice are convex isomorphic, in particular for modular, distributive and complemented lattices. The aim this paper is to generalize this concept to the $q$-lattices defined in [2] and to characterize the convex isomorphic $q$-lattices.},
author = {Emanovský, Petr},
journal = {Mathematica Bohemica},
keywords = {quasiorder; convex isomorphism; $q$-lattices; quasiorder; convex isomorphism; -lattices},
language = {eng},
number = {1},
pages = {37-42},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Convex isomorphism of $Q$-lattices},
url = {http://eudml.org/doc/29173},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Emanovský, Petr
TI - Convex isomorphism of $Q$-lattices
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 1
SP - 37
EP - 42
AB - V. I. Marmazejev introduced in [3] the following concept: two lattices are convex isomorphic if their lattices of all convex sublattices are isomorphic. He also gave a necessary and sufficient condition under which the lattice are convex isomorphic, in particular for modular, distributive and complemented lattices. The aim this paper is to generalize this concept to the $q$-lattices defined in [2] and to characterize the convex isomorphic $q$-lattices.
LA - eng
KW - quasiorder; convex isomorphism; $q$-lattices; quasiorder; convex isomorphism; -lattices
UR - http://eudml.org/doc/29173
ER -