2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two

DOI10.1016/j.jalgebra.2010.09.045zbMath1221.17038arXiv2009.02530OpenAlexW2085260735MaRDI QIDQ536021

Plamen Koshlukov, Diogo Diniz P. S. Silva

Publication date: 16 May 2011

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

Full work available at URL: https://arxiv.org/abs/2009.02530

zbMATH Keywords

graded identitiesfinite basis of identitiesJordan identitiesweak identitiesweak Jordan identities

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Simple, semisimple Jordan algebras (17C20) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities and free Jordan structures (17C05) Super structures (17C70)

Related Items (6)

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 ⋮ Specht property of varieties of graded Lie algebras ⋮ Specht property for the 2-graded identities of the Jordan algebra of a bilinear form ⋮ A note on cocharacter sequence of Jordan upper triangular matrix algebra ⋮ The algebra of \(2 \times 2\) upper triangular matrices as a commutative algebra: gradings, graded polynomial identities and Specht property

Cites Work

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