Перегляд за автором "Tsurkov, A."

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  • Action type geometrical equivalence of representations of groups 
    Plotkin, B.; Tsurkov, A. (Algebra and Discrete Mathematics, 2005)
    In the paper we prove (Theorem 8.1) that there exists a continuum of non isomorphic simple modules over KF₂, where F₂ is a free group with 2 generators (compare with [Ca] where a continuum of non isomorphic simple ...
  • Automorphic equivalence of the representations of Lie algebras 
    Shestakov, I.; Tsurkov, A. (Algebra and Discrete Mathematics, 2013)
    In this paper we research the algebraic geometry of the representations of Lie algebras over fixed field k. We assume that this field is infinite and char (k) = 0. We consider the representations of Lie algebras as 2-sorted ...
  • Geometrical equivalence and action type geometrical equivalence of group representations 
    Simoes da Silva, J.; Tsurkov, A. (Algebra and Discrete Mathematics, 2020)
    In this paper we construct an example of two representations (V₁,G₁) and (V₂,G₂) which are action type geometrically equivalent and groups G₁ and G₂ are geometrically equivalent, but the representations (V₁,G₁) and (V₂,G₂) ...