Centralizer near-rings that are endomorphism rings

Authors:
Carlton J. Maxson and Kirby C. Smith

Journal:
Proc. Amer. Math. Soc. **80** (1980), 189-195

MSC:
Primary 16A76; Secondary 16A44

DOI:
https://doi.org/10.1090/S0002-9939-1980-0577742-8

MathSciNet review:
577742

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Abstract: For a finite ring *R* with identity and a finite unital *R*-module *V* the set for all is the centralizer near-ring determined by *R* and *V*. Those rings *R* such that is a ring for every *R*-module *V* are characterized. Conditions are given under which is a semisimple ring. It is shown that if is a semisimple ring then .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1980-0577742-8

Keywords:
Centralizers,
near-rings,
semisimple rings

Article copyright:
© Copyright 1980
American Mathematical Society