Isotopes of the alternative Monster and the Skosyrskiĭ algebra

DOI10.1134/S0037446616040091zbMath1378.17049MaRDI QIDQ345258

Sergey V. Pchelintsev

Publication date: 1 December 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

alternative algebraalternative monsterdeformations of alternative algebrasisotopeprime exceptional algebraSkosyrsky algebra identity

Mathematics Subject Classification ID

Alternative rings (17D05) Nonassociative algebras satisfying other identities (17A30)

Related Items (7)

Central isotopes of \((-1,1) \)-algebras ⋮ One-sided isotopes and homotopes of right-alternative algebras ⋮ Identities of prime alternative algebras ⋮ Isotopes of alternative algebras of characteristic different from ⋮ Prime algebras connected with monsters ⋮ The isotopically simple algebras with a nil-basis ⋮ Isotopes of simple algebras of arbitrary dimension

Cites Work

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• Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type
• Degenerate alternative algebras
• Commutative Moufang loops and alternative algebras.
• Nilpotent elements and nil-radicals of alternative algebras
• Prime Mal'tsev algebras
• Prime Jordan algebras and the Kantor construction
• Prime alternative algebras that are nearly commutative

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