On Nilpotency of Generalized Almost-Jordan Right-Nilalgebras

DOI10.1142/S1005386708000072zbMath1168.17001MaRDI QIDQ3520485

Alicia Labra, Manuel J. Arenas

Publication date: 26 August 2008

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

zbMATH Keywords

trace formnilpotentsolvableright-nilalgebraGeneralized almost-Jordan algebra

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Nonassociative algebras satisfying other identities (17A30)

Related Items (9)

The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The geometric classification of nilpotent commutative \(\mathfrak{CD}\)-algebras ⋮ Trace forms and ideals on commutative algebras satisfying an identity of degree four ⋮ Generalized almost-Jordan algebras ⋮ The geometric classification of nilpotent ℭ𝔇-algebras ⋮ An algorithm for associative bilinear forms ⋮ On Trace Forms on a Class of Commutative Algebras Satisfying an Identity of Degree Four ⋮ Representations of Generalized Almost-Jordan Algebras ⋮ The algebraic classification of nilpotent commutative CD-algebras

Uses Software

• Albert

Cites Work

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• The theory of Lie triple algebras
• ON THE NILPOTENCE OF THE MULTIPLICATION OPERATOR IN COMMUTATIVE RIGHT NIL ALGEBRAS
• Degree four identities not implied by commutativity
• Identities of Non-Associative Algebras

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