V. A. Roman'kov, “The inverse function theorem for free associative algebras”, Sibirsk. Mat. Zh., 2004, Volume 45, Number 5,Pages <nobr>1178

This article is cited in 2 papers

The inverse function theorem for free associative algebras

V. A. Roman'kov

Omsk State University

Abstract: We obtain a necessary and sufficient condition for a given collection of elements to freely generate a free associative algebra. We present some necessary conditions for primitivity of an element of a free associative algebra of rank 2.

Keywords: free associative algebra, endomorphism, automorphism, free derivation, primitive element, the set of free generators.

UDC: 512.54

Received: 13.01.2004