Radicals of Lie-solvable Novikov algebras

arXiv Math

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Abstract

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 left-quasiregular ideal.

We investigate the stability of some properties of commutative algebras with derivation after applying the Gelfand-Dorfman construction.

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Radicals of Lie-solvable Novikov algebras

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