The algebra of \(2 \times 2\) upper triangular matrices as a commutative algebra: gradings, graded polynomial identities and Specht property

DOI10.1016/j.jalgebra.2021.11.011zbMath1496.17024OpenAlexW3215769113MaRDI QIDQ2062728

Pedro Morais, Manuela da Silva Souza

Publication date: 3 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.11.011

zbMATH Keywords

Specht propertycommutative algebragraded polynomial identity

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) General commutative ring theory (13A99)

Related Items (4)

Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3 ⋮ Specht property of varieties of graded Lie algebras ⋮ A Lie algebra over a finite field of characteristic 2: graded polynomial identities and Specht property ⋮ The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras

Cites Work

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• 2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two
• On weak equivalences of gradings
• Specht property for some varieties of Jordan algebras of almost polynomial growth
• Polynomial identities for the Jordan algebra of upper triangular matrices of order 2
• Representability and Specht problem for \(G\)-graded algebras.
• Group gradings on the Jordan algebra of upper triangular matrices
• Polynomial identities for the Jordan algebra of a degenerate symmetric bilinear form
• Specht property for the 2-graded identities of the Jordan algebra of a bilinear form
• A note on cocharacter sequence of Jordan upper triangular matrix algebra
• Identities of PI-Algebras Graded by a Finite Abelian Group
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Examples ofT-spaces with an infinite basis
• Counterexamples to the Specht problem
• A GENERAL THEORY OF JORDAN RINGS
• VARIETIES OF LIE ALGEBRAS
• Ordering by Divisibility in Abstract Algebras

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