ABSTRACT
Let p be an odd prime number, F a field of characteristic zero, and let Ebe the unitary Grassmann algebra generated by the infinite-dimensionalF-vector space L. We determine the bases of the ℤp-graded identities.Moreover we compute the ℤp-graded codimension and cocharacter sequences for the algebra E endowed with any ℤp-grading such that L is a homogeneous subspace.
2010 MATHEMATICS SUBJECT CLASSIFICATION: