About group isotopes with inverse property.

Authors

  • F. Sokhatsky Department of mathematical analysis and differential equations, Vasyl’ Stus Donetsk National University, Vinnytsia, Ukraine
  • A. Lutsenko Department of mathematical analysis and differential equations, Vasyl’ Stus Donetsk National University, Vinnytsia, Ukraine

Keywords:

Quasigroup, IP-quasigroup, invertible function, group isotope

Abstract

About group isotopes with inverse property.

References

V.D. Belousov, Foundations of the theory of quasigroups and loops, (in Russian). Moscow, Nauka, 1967.

F.M. Sokhatsky, On group isotopes II, Ukrainian Math.J. 47(12) (1995), 1935–1948.

F.M. Sokhatsky, Parastrophic symmetry in quasigroup theory, Bulletin of Donetsk National University. Series A: Natural Sciences. (2016), no. 1/2, 70–83.

F. Sokhatsky, A. Lutsenko, A truss of varieties of IP-quasigroups. In: Abstracts of the young disciplines "Pidstryhach reading - 2019" Pidstryhach Institute for Applied Problems of Mechanics and Mathematics (in Ukrainian). Lviv 27-29 May, 2019. http://www.iapmm.lviv.ua/chyt2019/abstracts/Lucenko.pdf

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