This article is cited in 4 papers

Research articles

On $\pi$-quasigroups isotopic to abelian groups

Parascovia Syrbu

State University of Moldova, Chisinau, Moldova

Abstract: A $\pi$-quasigroup is a quasigroup satisfying one of the seven minimal identities from the V. Belousov's classification given in [1]. Some general results about $\pi$-quasigroups isotopic to groups are obtained by V. Belousov and A. Gwaramija in [1] and [2]. $\pi$-Quasigroups isotopic to abelian groups are investigated in this paper.

Keywords and phrases: $\pi$-quasigroups, $C_3$-quasigroups, parastrophically equivalent identities, minimal identities, V. Belousov's classification, metabelian groups.

MSC: 20N05

Received: 10.09.2009

Language: English

Bibliographic databases:

• 
•