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.

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Last modified: September 14, 2005