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Journal of Mathematical Sciences

, Volume 142, Issue 2, pp 1915–1922 | Cite as

Action-type axiomatizable classes of group representations

  • A. Gvaramia
  • B. Plotkin
Article
  • 14 Downloads

Abstract

The paper adjoins the work of B. I. Plotkin and S. M. Vovsi, Varieties of Representations of Groups (Zinatne, Riga (1983)), and turns out to be, in a sense, its continuation. In the former, the varieties of representations have been considered. As a matter of fact, the varieties under consideration are action-type varieties. This paper studies other classes of representations, axiomatizable in a special action-type logic.

Keywords

Boolean Algebra Closure Condition Group Algebra Homomorphic Image Free Representation 
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.

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References

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    G. Gratzer and H. Lakser, “A note on the implicational class generated by a class of structures,” Can. Math. Bull., 16, No. 4, 603–605 (1974).MathSciNetGoogle Scholar
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    A. Gvaramia, “Maltsev’s theorem on quasi-varieties for multi-sorted algebras,” in: Algebra and Discrete Mathematics, Riga (1984), pp. 33–45.Google Scholar
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    A. I. Maltsev, Algebraic Systems [in Russian], Nauka, Moscow (1970).Google Scholar
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    B. I. Plotkin and A. Tsurkov, Action-Type Algebraic Geometry on Group Representations, Preprint.Google Scholar
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    B. I. Plotkin and S. M. Vovsi, Varieties of Representations of Groups [in Russian], Zinatne, Riga (1983).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • A. Gvaramia
    • 1
  • B. Plotkin
    • 2
  1. 1.Abhazia State UniversitySuhumAbhazia
  2. 2.Hebrew UniversityJerusalemIsrael

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