On ℤn-graded identities of block-triangular matrices

DOI10.1080/03081087.2013.865733zbMath1321.16012arXiv1306.5225OpenAlexW3122705458MaRDI QIDQ2938339

Lucio Centrone, Thiago Castilho de Mello

Publication date: 14 January 2015

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

Full work available at URL: https://arxiv.org/abs/1306.5225

zbMATH Keywords

T-idealsgraded polynomial identitiesSpecht problemblock-triangular matricesbases of graded identities

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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)

Related Items (5)

Graded polynomial identities for matrices with the transpose involution over an infinite field ⋮ On the factorization of \(T_G\)-ideals of graded matrix algebras ⋮ Graded monomial identities and almost non-degenerate gradings on matrices ⋮ Group gradings on upper block triangular matrices ⋮ Graded identities of block-triangular matrices

Cites Work

• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• On the graded identities of \(M_{1,1}(E)\)
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Block-triangular matrix algebras and factorable ideals of graded polynomial identities.
• Representability and Specht problem for \(G\)-graded algebras.
• Identities of PI-Algebras Graded by a Finite Abelian Group
• Abelian Gradings on Upper Block Triangular Matrices
• $\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$
• Codimension growth and minimal superalgebras
• GRADED IDENTITIES FOR THE ALGEBRA OF n×n UPPER TRIANGULAR MATRICES OVER AN INFINITE FIELD

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