The isotopically simple algebras with a nil-basis

DOI10.1080/00927872.2019.1705467zbMath1455.17002OpenAlexW3008765629MaRDI QIDQ5220669

A. A. Krylov, Sergey V. Pchelintsev

Publication date: 27 March 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1705467

zbMATH Keywords

isotopeisotopically simple algebrasimple algebra with a nil-basis

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (4)

Central isotopes of \((-1,1) \)-algebras ⋮ One-sided isotopes of finite-dimensional algebras ⋮ Isotopes of alternative algebras of characteristic different from ⋮ Isotopes of simple algebras of arbitrary dimension

Cites Work

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• Isotopes of the alternative Monster and the Skosyrskiĭ algebra
• Commutator identities of the homotopes of \((-1, 1)\)-algebras
• On the commutator nilpotency step of strictly \((-1,1)\)-algebras
• Degenerate alternative algebras
• Autotopies and quasigroup identities: new aspects of non-associative division algebras
• Isotopes of prime \((-1,1)\)- and Jordan algebras
• Isotopes of Hurwitz algebras
• On \(\delta\)-derivations of Lie algebras
• Homotopes of alternative algebras
• Finite-dimensional algebras with a nil-basis
• Non-associative algebras. I: Fundamental concepts and isotopy
• Prime alternative algebras that are nearly commutative
• Alternative algebras over an arbitrary field
• Some Results in the Theory of Linear Non-Associative Algebras

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