Classification of quasigroup functional equations and identities of minimal length.
Keywords:
Group, quasigroup, loop, invertible operation, parastrophe, identity, functional equation, parastrophic equivalence, parastrophically primary equivalence, parastrophic symmetryAbstract
Classification of quasigroup functional equations and identities of minimal length.References
Evans T. Algebraic structures associated with Latin squares and orthogonal arrays, Proc. Conf. Algebraic Aspects of Combinatorics, Congressus Numerantium 13 (1975), 31–52.
Belousov V. D. Parastrophically orthogonal quasigroups, Preprint Acad. nauk Moldova SSR, Izd. Stiintsa, Kishinev, (1983), p. 50 (in Russian).
Bennett F. E. The spectra of a variety of quasigroups and related combinatorial designs, Discrete Mathematics 77 (1–3) (1989), 29–50.
Sokhatsky F. M. Parastrophic symmetry in quasigroup theory, Visnyk Donetsk national university, Ser. A: natural sciences No. 1–2 (2016), 70–83.
Stein Sherman K. On the foundations of quasigroups, Trans. Amer. Math. Soc. 85 (1957), 228–256.