FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 3, PAGES 189-200

**Nil-algebras and infinite groups**

L. Hammoudi

Abstract

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We simplify our construction of nil-algebras by proving, for any
integer $d$³ 2 and over any
field $$**K**, that there exists
a residually nilpotent nonnilpotent nil-algebra
over $$**K** generated by
$d$ elements.
As a consequence, we obtain similar results for nonassociative
algebras and groups.

Location: http://mech.math.msu.su/~fpm/eng/k05/k053/k05313h.htm

Last modified: September 14, 2005