FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 121-131

Isotopes of the free algebra of type (-1,1) with three generators

M. E. Dedlovskaya

Abstract

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This work is devoted to the research of isotopes of algebras of type (-1,1) with three generators. It has been proved that the isotopes of the free algebra of the variety M3 belong to this variety, while the isotopes of an arbitrary algebra from M3 need not even be algebras of type (-1,1).


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