Mutually invertible quasigroups and loops.

Authors

  • V.D. Belousov Academy of Pedagogical Sciences of the USSR

Keywords:

a binary operation, a quasigroup, a loop, a right (left) invertible operation, a system of invertible quasigroups, sotopy

Abstract

In the present paper some dependencies expressed by isotopy transformations between mutually invertible quasigroups and loops are considered. Classification of quasigroups and loops up to isotopy is given.

Author Biography

V.D. Belousov, Academy of Pedagogical Sciences of the USSR

Doctor of Sciences in Physics and Mathematics, Professor, Corresponding Member

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Mathematics