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Distributively generated centralizer near-rings


Authors: C. J. Maxson and K. C. Smith
Journal: Proc. Amer. Math. Soc. 87 (1983), 409-414
MSC: Primary 16A76
DOI: https://doi.org/10.1090/S0002-9939-1983-0684628-X
MathSciNet review: 684628
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Abstract: Let $ G$ be a finite group. $ \mathcal{A}$ a group of automorphisms of $ G$ and $ \mathcal{C}\left( {\mathcal{A};G} \right)$ the centralizer near-ring determined by the pair $ (\mathcal{A},G)$. In this paper we investigate the structure of those centralizer near-rings $ \mathcal{C}\left( {\mathcal{A};G} \right)$ which are distributively generated. Particular attention is given to the situation in which $ G$ is a solvable group.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0684628-X
Keywords: Centralizer-near rings, distributively generated near-rings
Article copyright: © Copyright 1983 American Mathematical Society

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