TY - JOUR
AU - KrapeÅ¾, Aleksandar
AU - Shcherbacov, Victor A.
PY - 2019/06/11
Y2 - 2019/12/07
TI - Quasigroups, Units and Belousov's Problem # 18
JF - Armenian Journal of Mathematics
JA - Armen.J.Math.
VL - 11
IS - 9
SE - Articles
DO -
UR - http://armjmath.sci.am/index.php/ajm/article/view/210
SP - 1-27
AB - We investigate {left, right, middle\} units of quasigroups and families of identities which might imply their existence. A prominent role is played by the newly introduced notion of derivative operation, generalizing Belousov's notions of left/right derivative operations for quasigroups. Partial solutions of the Belousov's Problem # 18 and its generalizations are obtained. Several related problems remain open.
ER -