Logarithmetics of Finite Quasigroups (I)
Helen Popova · Proceedings of the Edinburgh Mathematical Society · 1954
The study of non-associative algebras led to the investigation of identities connecting powers of elements of such algebras. Thus Etherington1 (1941, 1949, 1951) introduced the concept of the logarithmetic of an algebra, defining it roughly as “ the arithmetic of the indices of the general element”.