Israel Journal of Mathematics

, Volume 96, Issue 1, pp 1–13 | Cite as

Recognition of matrix rings II



This paper provides several new criteria for a ring to be a complete matrix ring. Some applications demonstrate their efficacy; and their relative strengths are indicated by calculating the structures they impose on universal algebras.


Universal Algebra London Mathematical Society Regular Representation Matrix Ring Factor Ring 


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  1. [1]
    G. Agnarsson,On a class of presentations of matrix algebras, in preparation.Google Scholar
  2. [2]
    A. A. Albert,Modern Higher Algebra, University of Chicago Press, 1937.Google Scholar
  3. [3]
    A. A. Albert,Two element generation of a separable algebra, Bulletin of the American Mathematical Society50 (1944), 786–788.MATHMathSciNetGoogle Scholar
  4. [4]
    A. W. Chatters,Representations of tiled matrix rings as full matrix rings, Mathematical Proceedings of the Cambridge Philosophical Society105 (1989), 67–72.MATHMathSciNetCrossRefGoogle Scholar
  5. [5]
    A. W. Chatters,Matrices, idealizers and integer quaternions, Journal of Algebra150 (1992), 45–56.MATHCrossRefMathSciNetGoogle Scholar
  6. [6]
    K. R. Goodearl and R. B. Warfield, Jr.,An Introduction to Noncommutative Noetherian Rings, London Mathematical Society Student Texts16 (1989).Google Scholar
  7. [7]
    L. S. Levy, J. C. Robson and J. T. Stafford,Hidden matrices, Proceedings of the London Mathematical Society (3)69 (1994), 277–308.MATHCrossRefMathSciNetGoogle Scholar
  8. [8]
    J. C. Robson,Recognition of matrix rings, Communications in Algebra7 (1991), 2113–2124.CrossRefMathSciNetGoogle Scholar

Copyright information

© Hebrew University 1996

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  2. 2.School of MathematicsUniversity of LeedsLeedsEngland

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