Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices

DOI10.1080/03081087.2019.1648374zbMath1469.16047arXiv1902.01891OpenAlexW2964626398MaRDI QIDQ4959296

Dimas José Gonçalves, Ronald Ismael Quispe Urure

Publication date: 13 September 2021

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

Full work available at URL: https://arxiv.org/abs/1902.01891

zbMATH Keywords

involutionupper triangular matricesPI-algebraidentities with involutioncentral polynomials with involution

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)

Cites Work

• The central polynomials for the Grassmann algebra.
• Central polynomials for \(\mathbb{Z}_2\)-graded algebras and for algebras with involution.
• Involutions for upper triangular matrix algebras.
• Finite basis property of identities of associative algebras
• Basis for identities of the algebra of upper triangular matrices
• Identities with involution for \(2\times 2\) upper triangular matrices algebra over a finite field
• Polynomial identities with involution, superinvolutions and the Grassmann envelope
• THE CENTRAL POLYNOMIALS OF THE INFINITE-DIMENSIONAL UNITARY AND NONUNITARY GRASSMANN ALGEBRAS
• The finite basis property ofT-spaces over fields of characteristic zero
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