Quasigroups with some Bol-Moufang type identities.

Authors

  • N. Didurik State University Dimitrie Cantemir, Chisinau Moldova
  • V. Shcherbacov Institute of Mathematics and Computer Science, Chisinau Moldova

Keywords:

Quasigroup, group, unit, Bol-Moufang identity

Abstract

We research the existence of left and right identity elements (i.e., left and right unit) in
quasigroups with Bol-Moufang type identities which are listed in classical Fenvesh’ article.

References

V.D. Belousov. Foundations of the Theory of Quasigroups and Loops. Nauka, Moscow, 1967. (in Russian).

F. Fenyves. Extra loops. II. On loops with identities of Bol-Moufang type. Publ. Math. Debrecen, 16:187–192, 1969.

T.G. Ja..yeola, E. Ilojide, M. O. Olatinwo, and F. Smarandache. On the Classification of Bol-Moufang Type of Some Varieties of Quasi Neutrosophic Triplet Loop (Fenyves BCI-Algebras). Symmetry, 10:1–16, 2018. doi:10.3390/sym10100427.

Downloads

Issue

Збірник тез доповідей

Section

Тези доповідей