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An equational theory for a nilpotent <Emphasis Type="Italic">A</Emphasis>-loop
Authors:A V Kowalski  V I Ursu
Institution:(1) SP Geometry and Discrete Mathematics, University of Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany
Abstract:It is shown that a variety generated by a nilpotent A-loop has a decidable equational (quasiequational ) theory. Thereby the question posed by A. I. Mal’tsev in 6] is answered in the negative, and moreover, a finitely presented nilpotent A-loop has a decidable word problem.
Keywords:
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