The identities and central polynomials of the finite dimensional unitary Grassmann algebras over a finite field

2009/05/14 by C. Bekh-Ochir, Bekh-Ochir, C., S. A. Rankin +1
Computer Science · Mathematics · #Advanced Topics in Algebra #Graph theory and applications #Matrix Theory and Algorithms #math.RA

paper · pdf · doi:10.48550/arxiv.0905.2388

arxiv created 2009/11/10 · arxiv updated 2009/12/01

Abstract

We describe the T-ideal of identities and the T-space of central polynomials for the unitary finite dimensional Grassmann algebra over a finite field.

Related

• ℤ₂-graded identities of the Grassmann algebra over a finite field (update version)
• Examples of associative algebras for which the T-space of central polynomials is not finitely based
• Growth for the central polynomials
• Symmetric polynomials in the variety generated by Grassmann algebras
• A note on the ℤ₂ × ℤ₂-graded identities of E ⊗ E over a finite field