Перегляд за автором "Shestakov, I."

Сортувати за: Порядок: Результатів:

  • 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 ...
  • On associative algebras satisfying the identity x⁵=0 
    Shestakov, I.; Zhukavets, N. (Algebra and Discrete Mathematics, 2004)
    We study Kuzmin’s conjecture on the index of nilpotency for the variety N il₅ of associative nil-algebras of degree 5. Due to Vaughan-Lee [11] the problem is reduced to that for k-generator N il₅-superalgebras, where k ...
  • On speciality of Jordan brackets 
    Shestakov, I. (Algebra and Discrete Mathematics, 2009)
    We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The ...
  • On the representation type of Jordan basic algebras 
    Kashuba, I.; Ovsienko, S.; Shestakov, I. (Algebra and Discrete Mathematics, 2017)
    A finite dimensional Jordan algebra J over a field k is called \textit{basic} if the quotient algebra J/RadJ is isomorphic to a direct sum of copies of k. We describe all basic Jordan algebras J with (RadJ)²=0 of finite ...