Lie structure of prime rings of characteristic 2

Charles Philip Lanski and Susan Montgomery

Vol. 42 (1972), No. 1, 117–136

DOI: 10.2140/pjm.1972.42.117

Abstract

In this paper the Lie structure of prime rings of characteristic 2 is discussed. Results on Lie ideals are obtained. These results are then applied to the group of units of the ring, and also to Lie ideals of the symmetric elements when the ring has an involution. This work extends recent results of I. N. Herstein, C. Lanski and T. S. Erickson on prime rings whose characteristic is not 2, and results of S. Montgomery on simple rings of characteristic 2.

Mathematical Subject Classification 2000

Primary: 16A68

Secondary: 20E99, 16A28, 16A12

Milestones

Received: 1 June 1971

Published: 1 July 1972