\(\mathbb{Z}_{k+l}\times\mathbb{Z}_2\)-graded polynomial identities for \(M_{k,l}(E)\otimes E\).

zbMath1147.16302MaRDI QIDQ2569615

Vincenzo C. Nardozza

Publication date: 20 October 2005

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108591

zbMATH Keywords

generating setsGrassmann algebrasideals of graded polynomial identitiesPI-equivalences

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items (9)

Tensor product theorems in positive characteristic. ⋮ Graded identities for algebras with elementary gradings over an infinite field ⋮ Polynomial identities of algebras in positive characteristic. ⋮ PI non-equivalence in positive characteristic. ⋮ The Gelfand-Kirillov dimension of the universal algebras of \(M_{a,b}(E)\otimes E\) in positive characteristic. ⋮ Graded identities of block-triangular matrices ⋮ Polynomial identities for graded tensor products of algebras. ⋮ PI (non)equivalence and Gelfand-Kirillov dimension in positive characteristic. ⋮ Graded identities for tensor products of matrix (super)algebras over the Grassmann algebra

Cites Work

• Unnamed Item
• On the identities of subalgebras of matrices over the Grassmann algebra
• Supertraces and matrices over Grassmann algebras
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• $\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$
• Graded Polynomial Identities for Tensor Products by the Grassmann Algebra

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