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math.RA2026
Locally finite varieties of nonassociative algebras
Yuri Bahturin, Alexander Olshanskii
We study locally finite varieties (=primitive classes) of linear algebras over finite fields. We do not assume that our algebras are associative or Lie. We are interested in the ba…
math.RA2024
On generic properties of nilpotent algebras
Yuri Bahturin, Alexander Olshanskii
We study general nilpotent algebras. The results obtained are new even for the classical algebras, such as associative or Lie algebras. We single out certain generic properties of…