Prime rings with pivotal monomial xⁿ
by
Gordon A. Swain
Ashland University, Ashland, OH
Coauthors: Philip S. Blau (Boston University), W. S. Martindale, III (University of Massachusetts)

In 1957, M. P. Drazin introduced the notion of a pivotal monomial for a ring; this led to a structure theorem for primitive rings with pivotal monomial. As a first step toward a structure theory for prime rings with pivotal monomial, we show: if R is a prime ring with pivotal monomial of the form xⁿ for some positive integer n, then R is isomorphic to M_k(D) for some division ring D with k <= n.

Date received: November 12, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabw-19.