Identities with involution for \(2\times 2\) upper triangular matrices algebra over a finite field

DOI10.1016/j.laa.2018.01.007zbMath1387.16016OpenAlexW2783661293MaRDI QIDQ1637999

Ronald Ismael Quispe Urure, Dimas José Gonçalves

Publication date: 12 June 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.01.007

zbMATH Keywords

finite fieldsinvolutionPI-algebraidentities with involutionupper triangular matrices algebra

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (7)

Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3 ⋮ Symmetric and skew-symmetric polynomial identities with involution for the upper triangular matrix algebras of even order ⋮ Graded identities with involution for the algebra of upper triangular matrices ⋮ Values of multilinear graded \(\ast\)-polynomials on upper triangular matrices of small dimension ⋮ The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras ⋮ Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices ⋮ Polynomial identities for the Jordan algebra of \(2 \times 2\) upper triangular matrices

Cites Work

• Involutions for upper triangular matrix algebras.
• Basis for identities of the algebra of upper triangular matrices
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Introduction to noncommutative algebra.
• Group gradings on upper triangular matrices.
• Unnamed Item

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