Whitehead Groups of twisted free associative algebras

K. G. Choo

Vol. 50 (1974), No. 2, 399–402

DOI: 10.2140/pjm.1974.50.399

Abstract

Let R be an associative ring with identity and X a set of noncommuting variables {x_λ}_λ∈Λ. Let R{X} be the free associative algebra on X over R. Then S. Gersten has shown that if K₁R → K₁R[t] is an isomorphism, where R[t] is the polynomial extension of R, then K₁R → K₁R{X} is an isomorphism.

The purpose of this paper is to extend the result of Gersten to twisted free associative algebras.

Mathematical Subject Classification

Primary: 16A06

Milestones

Received: 18 October 1972

Published: 1 February 1974