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arXiv · 2303.10994

Novikov algebras and their primitive ideals

Aditya Dwarkesh·Amartya Goswami
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Abstract

The aim of this paper is to study the primitive ideals of Novikov algebras. In terms of modular maximal right ideals, a characterization of the primitive ideals of a Novikov algebra has been obtained. We prove a Chevalley-Jacobson density-type theorem for primitive Novikov algebras. We obtain some equivalences between prime, simple, and primitive Novikov algebras. We describe a subalgebra of a Novikov algebra as a Novikov algebra of endomorphisms.

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Aditya Dwarkesh, Amartya Goswami. 2023-03-20. Novikov algebras and their primitive ideals. https://arxiv.org/abs/2303.10994

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