An invertibility criterion of composition of two multiary central quasigroups.

Authors

F. Sokhatsky Department of mathematical analysis and differential equations, Vasyl’ Stus Donetsk National University, Vinnytsia, Ukraine
V. Savchuk Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, L’viv, Ukraine

Quasigroup, linear quasigroup, automorphism, canonical decomposition

Sokhatsky F., Kyrnasovsky O. Canonical decompositions of multi-isotopes of groups. Gomel. Questions of algebra (2001), N3(6). 17, P. 88–97.

Murathudjaev S. The admissibility of ..-quasigroups. Relation of admissibility and orthogonality. The mathematical reseach. (1985), № 83, P. 77–86.