Research Topic


Research program of Algebra Research Group (KK Aljabar) in the period 2011-2020 covers the following two areas:

  1. Fundamental research with emphasis on the development of the theory of modules and linear algebra :
    1. Research on linear algebra : characteristic and hyperinvariant subspaces, algebraic structures related to algebraic control theory.
    2. Research on algebras, modules, coalgebras and comodules: hereditary, cohereditary, Noether, prime, coprime, Dedekind properties.
    3. Research on module theory with categorical approach : abelian, triangulated and derived categories.
  2. Applied research with emphasis on the applications of algebraic structures in coding theory, cryptography and other areas.

The goals of these two researches in short term, middle term, and long term are presented in the following table:

Short Term
(2011- 2013)
Medium Term
(2014 – 2016)
Long Term
(2017 – 2020)
Third Stage Developing applications in algebraic control theory, coding theory, theoretical physics and cryptography.
Second Stage
  1. Developing tools for application in algebraic control theory, coding theory, theoretical physics and cryptography.
  2. Software production.
First Stage
  1. Initiation methodology & technology for linear algebra, ring and module theory, matrix analysis, representation theory, applied algebra.
  2. Develop national and international linkage.
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