A finite basis for polynomial identities of the Jordan algebra of a bilinear form

zbMath0845.17022MaRDI QIDQ1920041

S. Yu. Vasilovskij

Publication date: 19 August 1996

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Jordan algebraspolynomial identitiessymmetric bilinear formfinite basis propertyLie triple systemsT-idealSpechtian varieties

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Jordan structures associated with other structures (17C50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities and free Jordan structures (17C05)

Related Items (7)

Polynomial identities for the Jordan algebra of upper triangular matrices of order 2 ⋮ Jordan algebras of a degenerate bilinear form: Specht property and their identities ⋮ Polynomial identities for the Jordan algebra of a degenerate symmetric bilinear form ⋮ Ordinary and graded cocharacter of the Jordan algebra of \(2 \times 2\) upper triangular matrices ⋮ 2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two ⋮ Embeddings for the Jordan algebra of a bilinear form ⋮ Polynomial identities for the Jordan algebra of \(2 \times 2\) upper triangular matrices

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