$m$-medial $n$-quasigroups

@article{Kepka1991,
abstract = {For $n\ge 4$, every $n$-medial $n$-quasigroup is medial. If $1\le m<n$, then there exist $m$-medial $n$-quasigroups which are not $(m+1)$-medial.},
author = {Kepka, Tomáš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$n$-quasigroup; medial; medial -quasigroup; -ary quasigroup; -medial -ary quasigroups},
language = {eng},
number = {1},
pages = {9-14},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {$m$-medial $n$-quasigroups},
url = {http://eudml.org/doc/247266},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Kepka, Tomáš
TI - $m$-medial $n$-quasigroups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 1
SP - 9
EP - 14
AB - For $n\ge 4$, every $n$-medial $n$-quasigroup is medial. If $1\le m<n$, then there exist $m$-medial $n$-quasigroups which are not $(m+1)$-medial.
LA - eng
KW - $n$-quasigroup; medial; medial -quasigroup; -ary quasigroup; -medial -ary quasigroups
UR - http://eudml.org/doc/247266
ER -