On radicals of Novikov algebras

DOI10.1080/00927872.2023.2235420arXiv2212.13358MaRDI QIDQ6178405

Aleksander S. Panasenko

Publication date: 18 January 2024

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.13358

zbMATH Keywords

radicalNovikov algebrafinite dimensional algebraprime algebrasemiprime algebraquasiregular ideal

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Radical theory (nonassociative rings and algebras) (17A65) Lie-admissible algebras (17D25)

Cites Work

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• On simple Novikov algebras and their irreducible modules
• On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem
• Simple Lie-solvable pre-Lie algebras
• Polynomial identities in Novikov algebras
• On the solvability of graded Novikov algebras
• Solvability and nilpotency of Novikov algebras
• Semiprime Novikov algebras
• On the Lie-solvability of Novikov algebras

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