Simple near-ring centralizers of finite rings

Authors:
Carlton J. Maxson and Kirby C. Smith

Journal:
Proc. Amer. Math. Soc. **75** (1979), 8-12

MSC:
Primary 16A76

DOI:
https://doi.org/10.1090/S0002-9939-1979-0529202-X

MathSciNet review:
529202

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Abstract | References | Similar Articles | Additional Information

Abstract: For a finite ring *R* with identity and a finite unital *R*-module *V* we call for all the near-ring centralizer of *R*. We investigate the structure of and obtain a characterization of those rings *R* for which is a simple nonring.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1979-0529202-X

Keywords:
Centralizers,
simple rings,
near-rings

Article copyright:
© Copyright 1979
American Mathematical Society