Graded identities of simple real graded division algebras

DOI10.1016/j.jalgebra.2017.02.016zbMath1420.16030arXiv1510.02832OpenAlexW2963323555MaRDI QIDQ1702705

Diogo Diniz Pereira da Silva e Silva, Yu. A. Bakhturin

Publication date: 28 February 2018

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

Full work available at URL: https://arxiv.org/abs/1510.02832

zbMATH Keywords

graded algebrassimple real algebraspolynomial identities in algebras

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (4)

Identities and central polynomials for real graded division algebras ⋮ Graded identities with involution for the algebra of upper triangular matrices ⋮ The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras ⋮ Graded identities and isomorphisms on algebras of upper block-triangular matrices

Cites Work

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• Classification of division gradings on finite-dimensional simple real algebras.
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• Graded tensor products.
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• \(\mathbb{Z}_2\)-graded tensor products of p.i. algebras.
• Polynomial Identities of Finite Dimensional Simple Algebras
• Distinguishing simple jordan algebras by means of polynomial identities
• Finite-dimensional simple graded algebras
• On regular 𝐺-gradings
• Simple 𝐺-graded algebras and their polynomial identities

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