Block-triangular matrix algebras and factorable ideals of graded polynomial identities.

DOI10.1016/j.jalgebra.2004.05.010zbMath1065.16018OpenAlexW2003355196MaRDI QIDQ1887590

Roberto La Scala, Onofrio Mario di Vincenzo

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.05.010

zbMATH Keywords

superalgebrasgraded polynomial identitiescocharactersblock-triangular matricesgradings of matrix algebrasproducts of T-ideals

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 (13)

On the factorization of \(T_G\)-ideals of graded matrix algebras ⋮ On ℤ_n-graded identities of block-triangular matrices ⋮ On the factorability of polynomial identities of upper block triangular matrix algebras graded by cyclic groups ⋮ Minimal supervarieties with factorable ideal of graded polynomial identities. ⋮ Comparing the \(\mathbb{Z}_2\)-graded identities of two minimal superalgebras with the same superexponent ⋮ On some minimal supervarieties of exponential growth. ⋮ Minimal superalgebras generating minimal supervarieties ⋮ Upper triangular matrices of graded division algebras and their identities ⋮ On the factorability of the ideal of \(\ast\)-graded polynomial identities of minimal varieties of PI \(\ast\)-superalgebras ⋮ Graded identities of block-triangular matrices ⋮ Graded polynomial identities of triangular algebras ⋮ Ordinary and ℤ₂-Graded Cocharacters ofUT₂(E) ⋮ The factorability of T₂-ideals of minimal supervarieties

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