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Does R Prime Imply MR(R2) is Simple?

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Part of the Mathematics and Its Applications book series (MAIA, volume 336)

Abstract

In [1] Maxson and van der Walt prove that when M R(R2) is simple, then R must be prime. In this paper we present a class of examples which proves the converse need not be true. That is, R prime does not imply M R(R2) is simple.

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References

  1. [l]
    C. J. Maxson and A. P. J. van der Walt, Centralizer near-rings over free ring modules, J. Austral. Math. Soc. (Series A) 50 (1991), 279–296zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  1. 1.Department of MathematicsTexas A & M UniversityCollege StationUSA

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