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algebra universalis

, Volume 11, Issue 1, pp 42–76 | Cite as

On the general theory of (m, n) rings

  • J. J. Leeson
  • A. T. Butson
Article

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.

Keywords

Prime Order Homomorphic Image Algebra UNIV Division Ring Zero Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Birkhäuser Verlag 1980

Authors and Affiliations

  • J. J. Leeson
    • 1
    • 2
  • A. T. Butson
    • 1
    • 2
  1. 1.University of North FloridaJacksonvilleUSA
  2. 2.University of MiamiCoral GablesUSA

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