Graded central polynomials for the matrix algebra of order two.

DOI10.1007/s00605-008-0046-2zbMath1184.16022OpenAlexW2119881977MaRDI QIDQ2391069

Alexei Krasilnikov, Antônio Pereira jun. Brandão, Plamen Koshlukov

Publication date: 24 July 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0046-2

zbMATH Keywords

bases of identitiesgraded identitiesgraded central polynomialsalgebras with polynomial identitygraded T-idealsgraded T-spaces

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) ``Super (or ``skew) structure (16W55)

Related Items

Group gradings on the Lie and Jordan algebras of upper triangular matrices, Elementary gradings on the Lie algebra \(UT_n^{(-)}\), Graded polynomial identities and central polynomials of matrices over an infinite integral domain, Some graded identities of the Cayley–Dickson algebra, Graded central polynomials for the algebra \(M_n(K)\).

Cites Work

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• Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\)
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