Jordan gradings on associative algebras.

DOI10.1007/s10468-009-9180-3zbMath1237.16040OpenAlexW2012399716MaRDI QIDQ540619

Matej Brešar, Yu. A. Bakhturin, Ivan Pavlovic Shestakov

Publication date: 3 June 2011

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9180-3

zbMATH Keywords

functional identitiesassociative algebrasgroup gradingssimple Jordan algebras

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded rings and modules (associative rings and algebras) (16W50) Structure theory for Jordan algebras (17C10)

Related Items (5)

Functional identities and their applications ⋮ Functional identities in superalgebras. ⋮ A retrospect of the research in nonassociative algebras in IME-USP ⋮ Quasi-identities on matrices and the Cayley-Hamilton polynomial. ⋮ Group gradings on the Lie and Jordan superalgebrasQ(n)

Cites Work

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• Gradings on simple Jordan and Lie algebras
• Involutions on graded matrix algebras.
• Lie gradings on associative algebras
• Jordan homomorphisms of the symmetric elements of a ring with involution
• GRADINGS OF SIMPLE JORDAN ALGEBRAS AND THEIR RELATION TO THE GRADINGS OF SIMPLE ASSOCIATIVE ALGEBRAS
• FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE
• Jordan Homomorphisms of Rings
• Homomorphisms of Jordan Rings of Self-Adjoint Elements

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