The central polynomials of the infinite dimensional unitary and nonunitary Grassmann algebras

Abstract

We describe the T-space of central polynomials for both the unitary and the nonunitary infinite dimensional Grassmann algebra over a field of characteristic p not equal to 2 (infinite field in the case of the unitary algebra).

Cited by in corpus (4)

• Limit T-subspaces and the central polynomials in n variables of the Grassmann algebra
• Examples of associative algebras for which the T-space of central polynomials is not finitely based
• The subalgebra of graded central polynomials of an associative algebra
• The identities and central polynomials of the finite dimensional unitary Grassmann algebras over a finite field