Classification of quasigroup functional equations and identities of minimal length.

Автор(и)

  • H. Krainichuk Department of Radiophysics and Cybersecurity, Vasyl Stus Donetsk National University, Vinnytsia, Ukraine

Ключові слова:

Group, quasigroup, loop, invertible operation, parastrophe, identity, functional equation, parastrophic equivalence, parastrophically primary equivalence, parastrophic symmetry

Анотація

Classification of quasigroup functional equations and identities of minimal length.

Посилання

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.

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