FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 8, PAGES 69-71

**On independent systems in unitary relatively free algebras**

A. V. Grishin

Abstract

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This paper introduces a family of polynomial systems of quite
general form (triangular systems) in a unitary relatively free
algebra $F$
with associative degrees.
These systems generate a subalgebra that is isomorphic to the
algebra $F$.
The proof of independency is based on some simple algebro-geometric
consideration.

Location: http://mech.math.msu.su/~fpm/eng/k08/k088/k08803h.htm

Last modified: October 18, 2009