On \(\mathbb Z_2\)-graded identities of the generalized Grassmann envelope of the upper triangular matrices \(UT_{k,l}(F)\).

DOI10.1016/j.jpaa.2013.05.013zbMath1294.16015OpenAlexW66098049MaRDI QIDQ392411

Viviane Ribeiro Tomaz da Silva, Onofrio Mario di Vincenzo

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2013.05.013

zbMATH Keywords

graded algebrassuperalgebrasbases of identitiesgraded identitiesupper triangular matricesgraded polynomial identitiesGrassmann envelopes

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) Exterior algebra, Grassmann algebras (15A75) ``Super (or ``skew) structure (16W55)

Cites Work

• Unnamed Item
• On a Regev-Seeman conjecture about \(\mathbb{Z}_2\)-graded tensor products.
• Polynomial identities for graded tensor products of algebras.
• On \(\mathbb Z_2\)-graded polynomial identities of the Grassmann algebra.
• Identities of the tensor square of a Grassmann algebra
• Cocharacters of \(\mathbb Z/2\mathbb Z\)-graded algebras
• Colength sequence of some T-ideals
• The graded identities of upper triangular matrices of size two
• On \(\mathbb Z_2\)-graded identities of the super tensor product of \(UT_2(F)\) by the Grassmann algebra.
• On the graded identities of \(M_{1,1}(E)\)
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Polynomial identity rings.
• \(\mathbb{Z}_2\)-graded tensor products of p.i. algebras.
• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
• On the *-Polynomial Identities of a Class of *-Minimal Algebras
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Identities of associative algebras
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
• Codimension growth and minimal superalgebras
• The Polynomial Identities of the Grassman Algebra
• Subvarieties of the Varieties Generated by the SuperalgebraM_{1, 1}(E) orM₂(𝒦)
• The basis of the graded polynomial identities for superalgebras of triangular matrices
• Graded Brauer Groups.
• Exponential growth for codimensions of some p. i. algebras

This page was built for publication: On \(\mathbb Z_2\)-graded identities of the generalized Grassmann envelope of the upper triangular matrices \(UT_{k,l}(F)\).