algebra universalis

, Volume 11, Issue 1, pp 42–76

On the general theory of (m, n) rings

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

DOI: 10.1007/BF02483082

Cite this article as:
Leeson, J.J. & Butson, A.T. Algebra Universalis (1980) 11: 42. doi:10.1007/BF02483082

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.

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