A basis for the graded identities of the matrix algebra of order two over a finite field of characteristic \(p\neq 2\)

DOI10.1006/ffta.2002.0367zbMath1015.16021OpenAlexW2033712721MaRDI QIDQ1867474

Plamen Koshlukov, Sérgio S. de Azevedo

Publication date: 2 April 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.2002.0367

zbMATH Keywords

algebras with polynomial identitiespolynomial identities of matricesgraded polynomial identitiesalgebras over finite fields

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Trace rings and invariant theory (associative rings and algebras) (16R30) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (2)

-graded identities of the Lie algebras in characteristic 2 ⋮ Basis of graded identities of the superalgebra \(M_{1,2}(F)\).

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Graded identities for T-prime algebras over fields of positive characteristic
• A characteristic free approach to invariant theory
• A basis for the identities of the algebra of second-order matrices over a finite field
• Identities satisfied by a finite ring
• On the graded identities of \(M_{1,1}(E)\)
• Varieties of associative rings. I
• Identities of associative algebras
• Graded Brauer Groups.
• Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\)

This page was built for publication: A basis for the graded identities of the matrix algebra of order two over a finite field of characteristic \(p\neq 2\)