Upper triangular matrices of graded division algebras and their identities

DOI10.1016/j.jalgebra.2023.03.007OpenAlexW4328136631MaRDI QIDQ2700957

Sebastiano Argenti

Publication date: 27 April 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.03.007

zbMATH Keywords

graded algebrastwisted group algebrasgraded polynomial identitiesupper block triangular matrix algebras

Mathematics Subject Classification ID

Associative rings and algebras with additional structure (16Wxx) Rings with polynomial identity (16Rxx) Associative rings and algebras arising under various constructions (16Sxx)

Cites Work

• Graded polynomial identities and codimensions: computing the exponential growth.
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Comparing the \(\mathbb{Z}_2\)-graded identities of two minimal superalgebras with the same superexponent
• Group gradings on full matrix rings
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Block-triangular matrix algebras and factorable ideals of graded polynomial identities.
• A characterization of minimal varieties of \(\mathbb{Z}_p\)-graded PI algebras
• Existence of identities in \(A \otimes B\)
• Group gradings on upper triangular matrices.
• Multialternating graded polynomials and growth of polynomial identities
• Graded polynomial identities and exponential growth
• Graded identities of matrix algebras and the universal graded algebra
• Minimal varieties of algebras of exponential growth
• Group Gradings on Matrix Algebras
• The factorability of T₂-ideals of minimal supervarieties
• Simple 𝐺-graded algebras and their polynomial identities

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