Quasigroups with some Bol-Moufang type identities.
Ключові слова:
Quasigroup, group, unit, Bol-Moufang identityАнотація
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.
Посилання
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.