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

TL;DR

This paper characterizes the identities and central polynomials of the infinite dimensional unitary Grassmann algebra over a finite field, advancing understanding of its algebraic structure.

Contribution

It provides a complete description of the T-ideal of identities and T-space of central polynomials for this algebra, which was previously unknown.

Findings

Identified the T-ideal of identities for the algebra

Described the T-space of central polynomials

Enhanced understanding of algebraic structure over finite fields

Abstract

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