RESEARCH ARTICLE

Dickson's theorem for Bol loops

Yuri Movsisyan

Yerevan State University, Alex Manoogian 1, Yerevan 0025, Armenia

Abstract: Dickson characterized groups in terms of one-sided invertibility. In this note, we give comparable characterizations for Bol and Moufang loops.

Keywords: left (right) Bol identity, left (right) quasigroup, quasigroup, loop, left (right) Moufang identity.

MSC: 20N05

Received: 15.10.2016
Revised: 15.02.2017

Language: English

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