Graded identities and central polynomials for the verbally prime algebras

DOI10.1007/s10468-021-10085-3OpenAlexW3190953881MaRDI QIDQ2688935

Leomaques Bernardo, Claudemir Fidelis, Diogo Diniz Pereira da Silva e Silva, Plamen Koshlukov

Publication date: 6 March 2023

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

Full work available at URL: https://doi.org/10.1007/s10468-021-10085-3

zbMATH Keywords

graded algebrasverbally prime algebrasgraded polynomial identitygraded central polynomial

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items (2)

Graded identities for algebras with elementary gradings over an infinite field ⋮ \(\mathbb{Z}\)-graded identities of the Virasoro algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the graded central polynomials for elementary gradings in matrix algebras
• The central polynomials for the Grassmann algebra.
• Graded identities for T-prime algebras over fields of positive characteristic
• \(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic.
• Graded identities of block-triangular matrices
• Central polynomials for \(\mathbb{Z}_2\)-graded algebras and for algebras with involution.
• Graded central polynomials for the algebra \(M_n(K)\).
• Identities of the tensor square of a Grassmann algebra
• Central polynomials of second-order matrix algebra
• Central polynomials in the matrix algebra of order two.
• Graded polynomial identities as identities of universal algebras
• Graded isomorphisms on upper block triangular matrix algebras
• Identities and isomorphisms of finite-dimensional graded simple algebras
• A cohomological point of view on gradings on algebras with multiplicative basis
• On the graded identities of \(M_{1,1}(E)\)
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Graded polynomial identities of matrices
• Central polynomials for matrix rings
• \(\mathbb{Z}_2\)-graded tensor products of p.i. algebras.
• On the graded identities for elementary gradings in matrix algebras over infinite fields.
• GRADED POLYNOMIAL IDENTITIES OF VERBALLY PRIME ALGEBRAS
• $\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$
• Z-Graded Polynomial Identities of the Full Matrix Algebra
• Identities and central polynomials for real graded division algebras
• The Polynomial Identities of the Grassman Algebra
• Graded Polynomial Identities for Tensor Products by the Grassmann Algebra
• On regular 𝐺-gradings
• Graded Central Polynomials forT-Prime Algebras
• On the identities of the Grassmann algebras in characteristic \(p>0\)
• Group gradings on associative algebras
• Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\)

This page was built for publication: Graded identities and central polynomials for the verbally prime algebras