Assosymmetric algebras under Jordan product

DOI10.1080/00927872.2017.1327054zbMath1429.17029arXiv1601.06238OpenAlexW2612434054MaRDI QIDQ4640125

A. S. Dzhumadil'daev

Publication date: 16 May 2018

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

Full work available at URL: https://arxiv.org/abs/1601.06238

zbMATH Keywords

Jordan algebrasLie triple algebrasassosymmetric algebrasGlennie identity

Mathematics Subject Classification ID

Derivations, actions of Lie algebras (16W25) Identities and free Jordan structures (17C05)

Related Items (6)

The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The geometric classification of nilpotent commutative \(\mathfrak{CD}\)-algebras ⋮ On anticommutative algebras for which \([R_a,R_b\) is a derivation] ⋮ Polynomial identities of bicommutative algebras, Lie and Jordan elements ⋮ The geometric classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic classification of nilpotent commutative CD-algebras

Cites Work

• Jordan \(s\)-identities in three variables
• On assosymmetric rings
• A taste of Jordan algebras
• A basis for free assosymmetric algebras
• Some identities valid in special Jordan algebras but not valid in all Jordan algebras
• The theory of Lie triple algebras
• Lie triple algebras with one generator
• Almost Jordan Rings
• Assosymmetric Rings
• Commutative Algebras Satisfying an Identity of Degree Four
• Identities of Non-Associative Algebras
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