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.

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Last modified: October 18, 2009