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 â¤p-graded identities.Moreover we compute the â¤p-graded codimension and cocharacter sequences for the algebra E endowed with any â¤p-grading such that L is a homogeneous subspace.
On Zp-graded identities and cocharacters of the Grassmann algebra
Mario Di Vincenzo, Onofrio;
2017-01-01
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 â¤p-graded identities.Moreover we compute the â¤p-graded codimension and cocharacter sequences for the algebra E endowed with any â¤p-grading such that L is a homogeneous subspace.File in questo prodotto:
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