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On the general theory of (m, n) rings

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Abstract

In this paper, the lattice of congruences of an (m, n) ring is determined, a generalization of the Wedderburn theorem for finite division rings is considered, all (2,n) fields, (2,n) rings of prime order, and all (3,n) rings of prime order are determined. A special class of (2,n) fields, called super-simple (2,n) fields, is characterized.

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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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Leeson, J.J., Butson, A.T. On the general theory of (m, n) rings. Algebra Universalis 11, 42–76 (1980). https://doi.org/10.1007/BF02483082

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  • DOI: https://doi.org/10.1007/BF02483082

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