Author:
Fuchs Peter,Maxson C. J.,Pettet M. R.,Smith K. C.
Abstract
SynopsisLet G be a group and let A be a fixed point free group of automorphisms of G. It is shown that the centraliser near-ring MA(G) has at most one nontrivial ideal. Conditions on the pair (A, G) are given which force MA(G) to be simple. It is shown that if a nonsimple near-ring MA(G) exists, then A and G have unusual properties.
Publisher
Cambridge University Press (CUP)
Reference6 articles.
1. Lectures in Abstract Algebra
2. 1 Fuchs P. . Isomorphisms between lattices of filters and lattices of substructures in transformations near-rings (Submitted).
3. The simplicity of near-rings of mappings
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