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 $M$_{3} belong to
this variety, while the isotopes of an arbitrary algebra
from $M$_{3} need not even
be algebras of type $($-1,1).

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Last modified: April 11, 2000