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math.RA2026
Radicals of Lie-solvable Novikov algebras
A. S. Panasenko
We prove that in a Lie-solvable Novikov algebra, the Baer radical coincides with the set of all right-nilpotent elements, and the Andrunakievich radical coincides with the largest…
math.RA2025
Central orders in simple right-alternative superalgebras and right-symmetric algebras
A. S. Panasenko
We consider some recently constructed examples of simple finite-dimensional right-alternative superalgebras and right-symmetric algebras. We prove that the central order in any of…