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Journal of Mathematical Sciences

, Volume 139, Issue 4, pp 6762–6779 | Cite as

Varieties of two-step solvable algebras of type (γ, δ)

  • S. V. Platonova
Article
  • 12 Downloads

Abstract

The structure of the set of all nonnilpotent subvarieties of the variety of two-step solvable algebras of type (γ, δ) is studied. An additive basis of a free metabelian (γ, δ)-algebra is constructed. It is proved that any identity in a nonnilpotent metabelian (γ, δ)-algebra of degree at least 6 is a consequence of four defining relations.

Keywords

Additive Basis Regular Word Alternative Algebra Nonassociative Algebra Account Property 
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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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • S. V. Platonova
    • 1
  1. 1.Ryazan State Pedagogical UniversityRyazan

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