Vol. 101, No. 2, 1982

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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
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
Authors
Carlton James Maxson
Martin Ross Pettet
Kirby C. Smith