On semisimple rings that are centralizer near-rings

Carlton James Maxson, Martin Ross Pettet and Kirby C. Smith

Vol. 101 (1982), No. 2, 451–461

DOI: 10.2140/pjm.1982.101.451

Abstract

Let G be a finite group with identity 0 and let 𝒜 be a group of automorphisms of G. The set C(𝒜;G) = {f : G → G|f(0) = 0,f(γv) = γf(v) for every γ ∈𝒜,v ∈ G} is the centralizer near-ring determined by 𝒜 and G. In this paper we consider the following “representation” questions: (I) Which finite semisimple near-rings are of C(𝒜;G)-type? and (II) Which finite rings are of C(𝒜;G)-type?

Mathematical Subject Classification

Primary: 16A76, 16A76

Milestones

Received: 1 September 1979

Published: 1 August 1982