Fully bounded G-rings

Richard Dean Resco, J. Toby Stafford and Robert Breckenridge Warfield, Jr.

Vol. 124 (1986), No. 2, 403–415

DOI: 10.2140/pjm.1986.124.403

Abstract

This paper contains a nullstellensatz for fully bounded G-rings which yields at the same time a new proof of the Amitsur-Small nullstellensatz for division rings. The result is applied to the study of fully bounded rings R for which the polynomial ring R[x] is primitive.

Mathematical Subject Classification

Primary: 16A20, 16A20

Secondary: 16A12

Milestones

Received: 24 May 1985

Published: 1 October 1986