Research articles

On orders of elements in quasigroups

Victor Shcherbacov

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova

Abstract: We study the connection between the existence in a quasigroup of $(m,n)$-elements for some natural numbers $m,n$ and properties of this quasigroup. The special attention is given for case of $(m,n)$-linear quasigroups and $(m,n)$-T-quasigroups.

Keywords and phrases: Quasigroup, medial quasigroup, T-quasigroup, order of an element of a quasigroup.

MSC: 20N05

Received: 28.06.2004

Language: English

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