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math.RA2024
Superpolynomial identities of finite-dimensional simple algebras
Yuri Bahturin, Felipe Yukihide Yasumura
We investigate the Grassmann envelope (of finite rank) of a finite-dimensional -graded algebra. As a result, we describe the polynomial identities of $G_1(\mathcal{A}…
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…