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Article collection "Mathematical Problems of Cybernetics" №11, Moscow, 2002
Authors: Latyshev V.N.
The algorithmic recognition of polynomial identities
he factor-algebras A\I are regarded where A is a free associative algebra the universally enveloping algebra of a finitely dimential Lie algebra over a field of zero characteristic and I an ideal of A generated by a finite Groebner-Shirshov basis. It is proved that the property of A\I to by Lie nilpotent algebra(with a fixed index) is algorithmically recognizable.
recognizable properties of algebras, polynomial identities, universally enveloping algebras of the finitely dimential Lie algebras
Publication language: russian,  pages: 10 (p. 5-14)
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Latyshev Viktor Nikolaevich,  ,  МГУ имени М. В. Ломоносова, механико-математический факультет