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arXiv · 2212.13358

On radicals of Novikov algebras

A. S. Panasenko
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Abstract

We show that in a prime nonassociative Novikov algebra every nonzero ideal is non-associative. We prove that Baer (and Andrunakievich) radical and left quasiregular radical coincide in finite dimensional Novikov algebras over a field of characteristic 0 or algebraically closed field of odd characteristic. We show non-existence of right quasiregular radical in finite dimensional Novikov algebras.

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A. S. Panasenko. 2022-12-27. On radicals of Novikov algebras. https://doi.org/10.1080/00927872.2023.2235420

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