Simple 𝐺-graded algebras and their polynomial identities
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Publication:5401741
DOI10.1090/S0002-9947-2013-05842-4zbMath1297.16019arXiv1107.4713OpenAlexW2086692712MaRDI QIDQ5401741
Eli Aljadeff, Darrell E. Haile
Publication date: 12 March 2014
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.4713
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 (29)
On the codimension sequence of \(G\)-simple algebras. ⋮ Graded polynomial identities as identities of universal algebras ⋮ Verbally prime T-ideals and graded division algebras ⋮ Minimal varieties of associative PI (super)-algebras with respect to their (graded) exponent ⋮ Division algebras graded by a finite group ⋮ Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras. ⋮ On the factorability of polynomial identities of upper block triangular matrix algebras graded by cyclic groups ⋮ Graded monomial identities and almost non-degenerate gradings on matrices ⋮ Graded polynomial identities on upper block triangular matrix algebras. ⋮ Semisimple algebras and PI-invariants of finite dimensional algebras ⋮ The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras ⋮ On some minimal supervarieties of exponential growth. ⋮ Graded embeddings of finite dimensional simple graded algebras. ⋮ Graded identities of simple real graded division algebras ⋮ On weak equivalences of gradings ⋮ Descent, fields of invariants, and generic forms via symmetric monoidal categories ⋮ Upper triangular matrices of graded division algebras and their identities ⋮ Graded identities and isomorphisms on algebras of upper block-triangular matrices ⋮ A graph-theoretic approach for comparing dimensions of components in simply-graded algebras ⋮ On some \(H\)-Galois objects and their polynomial \(H\)-identities ⋮ Groups of central-type, maximal connected gradings and intrinsic fundamental groups of complex semisimple algebras ⋮ Identities and isomorphisms of finite-dimensional graded simple algebras ⋮ Elementary gradings on the Lie algebra \(UT_n^{(-)}\) ⋮ Distinguishing simple algebras by means of polynomial identities ⋮ On group gradings on PI-algebras. ⋮ 𝐺-graded central polynomials and 𝐺-graded Posner’s theorem ⋮ A characterization of minimal varieties of \(\mathbb{Z}_p\)-graded PI algebras ⋮ On the minimal varieties of PI-algebras graded by finite cyclic groups ⋮ On generic \(G\)-graded Azumaya algebras
Cites Work
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- Polynomial Identities of Finite Dimensional Simple Algebras
- Graded identities of matrix algebras and the universal graded algebra
- Distinguishing simple jordan algebras by means of polynomial identities
- Finite-dimensional simple graded algebras
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