ℤ2 and ℤ-graded central polynomials of the Grassmann algebra

DOI10.1142/S0218196720500290zbMath1467.15023OpenAlexW3005208943MaRDI QIDQ5123714

Alan de Araújo Guimarães, Plamen Koshlukov, Claudemir Fidelis

Publication date: 29 September 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196720500290

zbMATH Keywords

graded algebraGrassmann algebragraded central polynomial

Mathematics Subject Classification ID

Superalgebras (17A70) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) ``Super (or ``skew) structure (16W55)

Related Items (4)

\(\mathbb{Z}\)-gradings of full support on the Grassmann algebra ⋮ $\mathbb{Z}$-graded identities on the infinite-dimensional Grassmann algebra and arithmetic tools: revisited ⋮ ℤ-gradings on the Grassmann algebra over infinite fields: Graded identities and central polynomials ⋮ \(\mathbb{Z}_q\)-graded identities and central polynomials of the Grassmann algebra

Cites Work

• The central polynomials for the Grassmann algebra.
• Remarks on the prime varieties
• Primeness property for graded central polynomials of verbally prime algebras
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• Central polynomials for matrix rings
• The Identities and the Central Polynomials of the Infinite Dimensional Unitary Grassmann Algebra Over a Finite Field
• THE CENTRAL POLYNOMIALS OF THE INFINITE-DIMENSIONAL UNITARY AND NONUNITARY GRASSMANN ALGEBRAS
• Group Actions and Asymptotic Behavior of Graded Polynomial Identities
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• TRACE IDENTITIES AND CENTRAL POLYNOMIALS IN THE MATRIX SUPERALGEBRAS $ M_{n,k}$
• ON A PROBLEM OF KAPLANSKY
• ℤ2-graded identities of the Grassmann algebra over a finite field
• The Polynomial Identities of the Grassman Algebra
• 2-Graded identities for the tensor square of the Grassmann algebra
• On the identities of the Grassmann algebras in characteristic \(p>0\)
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