The \(2 \times 2\) upper triangular matrix algebra and its generalized polynomial identities

DOI10.1016/j.jalgebra.2024.12.005MaRDI QIDQ6668544

Carla Rizzo, Fabrizio Martino

Publication date: 22 January 2025

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

zbMATH Keywords

polynomial growthpolynomial identitycodimension growthgeneralized polynomial identitycocharacter

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• Functional identities on matrix algebras.
• Differential identities of prime rings
• Differential identities of semiprime rings
• Generalized polynomial identities
• General polynomial identities. II
• Generalized identities with automorphisms
• Generalized polynomial identities. III
• The graded identities of upper triangular matrices of size two
• Differential identities, \(2 \times 2\) upper triangular matrices and varieties of almost polynomial growth
• A star-variety with almost polynomial growth
• Varieties of special Jordan algebras of almost polynomial growth
• Prime rings satisfying a generalized polynomial identity
• Prime rings with involution and generalized polynomial identities
• Existence of identities in \(A \otimes B\)
• Codimensions of generalized polynomial identities
• Asymptotics for the multiplicities in the cocharacters of some PI-algebras
• Generalized Polynomial Identities and Pivotal Monomials

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