Formal Matrix Rings over a Given Ring

  • Piotr KrylovEmail author
  • Askar Tuganbaev
Part of the Algebra and Applications book series (AA, volume 23)


If a concrete formal matrix ring of order n contains elements of some fixed ring R in all positions, then we speak about a formal matrix ring over the ring R. The properties of such rings can differ from those of the ordinary rings of all \(n\times n\) matrices over R.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Tomsk State UniversityTomskRussia
  2. 2.National Research University MPEIMoscowRussia

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