commutative algebras with derivation 1gelfand-dorfman construction 1lie-solvable algebras 1novikov algebras 1radical theory 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.RA2026
Radicals of Lie-solvable Novikov algebras
A. S. Panasenko
The paper proves that in Lie‑solvable Novikov algebras the Baer radical coincides with the set of 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…