RO  EN
IMI/Publicaţii/BASM/Ediţii/BASM n.3 (13), 1993/

Totally symmetric $n$-ary loops. (Russian)

Authors: Ursu L. A.

Abstract

The behaviour of $n$-ary $TS$-loops by isotopy is investigated. The conditions by which an $LP$-isotope of such loops is a $IP$-loop ($TS$-loop) are found. It is established the isomorphism of isotopic $TS-n$-loops of any even arity and of ternary $TS$-loops. It is proved the existans of isotopic but nonisomorphic $TS-n$-loops and nonseparable $TS-n$-loops of any add arity $n>3$.

Universitatea Tehnică a Moldovei
bul. Ştefan cel Mare 168, Chişinău MD-2012, Moldova