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Equationally complete (m, n) rings

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Abstract

It is shown that every super-simple (m, n) ring is equationally complete. The atomic varieties of (m, 2) rings and the atomic varieties of (2,n) rings are completely determined.

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Authors and Affiliations

  1. University of North Florida, Jacksonville, Florida, USA

    J. J. Leeson & A. T. Butson

  2. University of Miami, Coral Gables, Florida, USA

    J. J. Leeson & A. T. Butson

Authors
  1. J. J. Leeson
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  2. A. T. Butson
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Additional information

The authors would like to express their sincere appreciation to the referee for a very careful reading of the original manuscript. The report led to a significant improvement in exposition and, in particular, new and shorter proofs of the main results in section 2.

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Leeson, J.J., Butson, A.T. Equationally complete (m, n) rings. Algebra Universalis 11, 28–41 (1980). https://doi.org/10.1007/BF02483081

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  • DOI: https://doi.org/10.1007/BF02483081

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