Skip to main content
SpringerLink
Log in

Recognition of matrix rings II

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. Agnarsson,On a class of presentations of matrix algebras, in preparation.

  2. A. A. Albert,Modern Higher Algebra, University of Chicago Press, 1937.

  3. A. A. Albert,Two element generation of a separable algebra, Bulletin of the American Mathematical Society50 (1944), 786–788.

    MATH  MathSciNet  Google Scholar 

  4. A. W. Chatters,Representations of tiled matrix rings as full matrix rings, Mathematical Proceedings of the Cambridge Philosophical Society105 (1989), 67–72.

    Article  MATH  MathSciNet  Google Scholar 

  5. A. W. Chatters,Matrices, idealizers and integer quaternions, Journal of Algebra150 (1992), 45–56.

    Article  MATH  MathSciNet  Google Scholar 

  6. K. R. Goodearl and R. B. Warfield, Jr.,An Introduction to Noncommutative Noetherian Rings, London Mathematical Society Student Texts16 (1989).

  7. L. S. Levy, J. C. Robson and J. T. Stafford,Hidden matrices, Proceedings of the London Mathematical Society (3)69 (1994), 277–308.

    Article  MATH  MathSciNet  Google Scholar 

  8. J. C. Robson,Recognition of matrix rings, Communications in Algebra7 (1991), 2113–2124.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    G. Agnarsson

  2. School of Mathematics, University of Leeds, LS2 9JT, Leeds, England

    S. A. Amitsur & J. C. Robson

Authors
  1. G. Agnarsson
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. A. Amitsur
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. C. Robson
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. Agnarsson.

Additional information

The work in this paper was under active discussion with Shimshon Amitsur at the time of his death, and there was already agreement to prepare this joint paper. We are saddened by the loss of a colleague and wise friend, but are pleased to be able to remember him.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Agnarsson, G., Amitsur, S.A. & Robson, J.C. Recognition of matrix rings II. Israel J. Math. 96, 1–13 (1996). https://doi.org/10.1007/BF02785529

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02785529

Keywords

Search

Navigation