On the solvability of graded Novikov algebras

DOI10.1142/S0218196721500491zbMath1497.17047arXiv2103.07464OpenAlexW3180208217MaRDI QIDQ5021450

Viktor Nikolaevich Zhelyabin, Ualbei Utmakhanbetovich Umirbaev

Publication date: 13 January 2022

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.07464

zbMATH Keywords

automorphismsolvabilityring of invariantsnilpotencyNovikov algebragraded algebra

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Solvable, nilpotent (super)algebras (17B30) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)

Related Items (7)

On the Lie-solvability of Novikov algebras ⋮ Polynomial identities in Novikov algebras ⋮ Representations via differential algebras and equationally Noetherian algebras ⋮ On radicals of Novikov algebras ⋮ On simple left-symmetric algebras ⋮ Novikov \(\mathbb{Z}_2 \)-graded algebras with an associative 0-component ⋮ Semiprime Novikov algebras

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