A characterization of minimal varieties of \(\mathbb{Z}_p\)-graded PI algebras

DOI10.1016/j.jalgebra.2019.08.018zbMath1451.16013OpenAlexW2970653357MaRDI QIDQ2326452

Ernesto Spinelli, Viviane Ribeiro Tomaz da Silva

Publication date: 7 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.08.018

zbMATH Keywords

graded algebrasgraded polynomial identitiesupper block triangular matrix algebrasminimal varieties\(G\)-exponent

Mathematics Subject Classification ID

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 (12)

Graded identities of \(M_n(E)\) and their generalizations over infinite fields ⋮ Superalgebras: polynomial identities and asymptotics ⋮ ℤ2-gradings and minimal varieties of ℤ2-graded PI algebras ⋮ On the factorability of polynomial identities of upper block triangular matrix algebras graded by cyclic groups ⋮ On central polynomials and codimension growth ⋮ The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras ⋮ 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 ⋮ Minimal varieties of PI-superalgebras with graded involution ⋮ On the classification of a family of minimal superalgebras ⋮ On the minimal varieties of PI-algebras graded by finite cyclic groups ⋮ Central polynomials of graded algebras: capturing their exponential growth

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