Quasigroups, Units and Belousov's Problem # 18 Aleksandar Krapež
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.
DOI: 10.52737/18291163-2019.11.9-1-27 Armenian Journal of Mathematics, 11(9) 1-27
