Specht property for some varieties of Jordan algebras of almost polynomial growth

DOI10.1016/j.jalgebra.2018.11.017zbMath1456.17017OpenAlexW2902030421WikidataQ128900067 ScholiaQ128900067MaRDI QIDQ1755554

Fabrizio Martino, Manuela da Silva Souza, Lucio Centrone

Publication date: 10 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.11.017

zbMATH Keywords

growthcodimensionSpecht propertyJordan algebrapolynomial identity

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 (9)

Specht property for the algebra of upper triangular matrices of size two with a Taft’s algebra action ⋮ Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3 ⋮ Varieties of special Jordan algebras of almost polynomial growth ⋮ Jordan algebras of a degenerate bilinear form: Specht property and their identities ⋮ Specht property of varieties of graded Lie algebras ⋮ A Lie algebra over a finite field of characteristic 2: graded polynomial identities and Specht property ⋮ Varieties of null-filiform Leibniz algebras under the action of Hopf algebras ⋮ The algebra of \(2 \times 2\) upper triangular matrices as a commutative algebra: gradings, graded polynomial identities and Specht property ⋮ Polynomial identities for the Jordan algebra of \(2 \times 2\) upper triangular matrices

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