A note on convex sublattices of lattices

Slavík, Václav. "A note on convex sublattices of lattices." Commentationes Mathematicae Universitatis Carolinae 36.1 (1995): 7-9. <http://eudml.org/doc/247734>.

@article{Slavík1995,
abstract = {Let $CSub\,(\text\{\bf K\})$ denote the variety of lattices generated by convex sublattices of lattices in $\text\{\bf K\}$. For any proper variety $\text\{\bf V\}$, the variety $CSub\,(\text\{\bf V\})$ is proper. There are uncountably many varieties $\text\{\bf V\}$ with $CSub\,(\text\{\bf V\})=\text\{\bf V\}$.},
author = {Slavík, Václav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {lattice; convex sublattice; variety; variety of lattices; convex sublattices},
language = {eng},
number = {1},
pages = {7-9},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on convex sublattices of lattices},
url = {http://eudml.org/doc/247734},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Slavík, Václav
TI - A note on convex sublattices of lattices
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 1
SP - 7
EP - 9
AB - Let $CSub\,(\text{\bf K})$ denote the variety of lattices generated by convex sublattices of lattices in $\text{\bf K}$. For any proper variety $\text{\bf V}$, the variety $CSub\,(\text{\bf V})$ is proper. There are uncountably many varieties $\text{\bf V}$ with $CSub\,(\text{\bf V})=\text{\bf V}$.
LA - eng
KW - lattice; convex sublattice; variety; variety of lattices; convex sublattices
UR - http://eudml.org/doc/247734
ER -