Degree four identities not implied by commutativity

DOI10.1080/00927878808823575zbMath0641.17001OpenAlexW1998442265MaRDI QIDQ3781893

Irvin Roy Hentzel, Giulia Maria Piacentini Cattaneo, Luisa Carini

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823575

zbMATH Keywords

idempotentassociativitycommutativitygeneralization of right alternativityidentity of degree four

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30)

Related Items (12)

ON LEFT NILALGEBRAS OF LEFT NILINDEX FOUR SATISFYING AN IDENTITY OF DEGREE FOUR ⋮ Generalized Jordan algebras ⋮ Trace forms and ideals on commutative algebras satisfying an identity of degree four ⋮ Generalized almost-Jordan algebras ⋮ On Nilpotency of Generalized Almost-Jordan Right-Nilalgebras ⋮ A class of continuous non-associative algebras arising from algebraic groups including ⋮ Nilpotency of commutative finitely generated algebras satisfying \(L_x^3+\gamma\, L_{x^3}\), \(\gamma =1,0\) ⋮ On Trace Forms on a Class of Commutative Algebras Satisfying an Identity of Degree Four ⋮ Commutative non-power-associative algebras ⋮ Representations of Generalized Almost-Jordan Algebras ⋮ The Wedderburn Principal Theorem for Generalized Almost-Jordan Algebras ⋮ ON THE NILPOTENCE OF THE MULTIPLICATION OPERATOR IN COMMUTATIVE RIGHT NIL ALGEBRAS

Cites Work

• Simple (\(\gamma\delta\)) algebras are associative
• Varieties of algebras
• Degree three identities

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