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A generalization of centralizer near-rings
Published online by Cambridge University Press: 20 January 2009
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Let G be a group with identity 0 and let be a group of automorphisms of G. The centralizer near-ring determined by G and
is the set
for all α∈
and f(0)=0}, forming a near-ring under function addition and function composition. This class of nea-rings has been extensively studied (for example see [1], [2], [5] and [6]) and it is known that every finite simple near-ring with identity which is not a ring is isomorphic to C(
;G) for a suitable pair (
,G) see [6] page 131, Corollary 4.59 and Theorem 4.60.
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- Copyright © Edinburgh Mathematical Society 1985
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