Graded identities of several tensor products of the Grassmann algebra

DOI10.1007/S10468-020-09998-2OpenAlexW3089829420MaRDI QIDQ2058365

Lucio Centrone, Viviane Ribeiro Tomaz da Silva

Publication date: 8 December 2021

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-020-09998-2

zbMATH Keywords

tensor productGrassmann algebragraded polynomial identities

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities other than those of matrices over commutative rings (16R40)

Cites Work

• Unnamed Item
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• Tensor products of matrix algebras over the Grassmann algebra
• Tensor product theorems in positive characteristic.
• On \(\mathbb Z_2\)-graded identities of \(UT_2(E)\) and their growth.
• Existence of identities in \(A \otimes B\)
• Z_P-CODIMENSIONS OF Z_P-IDENTITIES OF GRASSMANN ALGEBRA
• A note on graded polynomial identities for tensor products by the Grassmann algebra in positive characteristic
• Identities of associative algebras
• GRADED IDENTITIES AND PI EQUIVALENCE OF ALGEBRAS IN POSITIVE CHARACTERISTIC
• Graded Polynomial Identities for Tensor Products by the Grassmann Algebra
• ℤ₂-Graded Gelfand–Kirillov dimension of the Grassmann algebra
• 2-Graded identities for the tensor square of the Grassmann algebra

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