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We investigate radical properties in Lie-solvable Novikov algebras, suggesting implications for algebraic structure.
We show that, for a Lie-solvable Novikov algebra, the Baer radical is precisely the set of all right nilpotent elements, whereas the Andrunakievich radical is the largest left quasiregular ideal. We investigate the extent to which certain properties of associative and commutative algebras equipped with a derivation are preserved under the Gelfand–Dorfman construction.
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A. S. Panasenko (2026) studied this question.
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