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Modules over Formal Matrix Rings

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

Abstract

We set out the basic theory of modules over formal matrix rings and consider the structure of some submodules (small and essential submodules, the socle and the radical). We pay much attention to injective, flat and projective modules over formal matrix rings of order 2.

Keywords

Module Multiplication Endomorphism Ring Triangular Matrice Trace Ideal Divisible Group 
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.

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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