Let F be an infinite field of characteristic different from two and E be the unitary Grassmann algebra of an infinite dimensional F-vector space L. Denote by Egr an arbitrary Z_2-grading on E such that the subspace L is homogeneous. We consider Egr x E^n as a (Z_2xZ_2^n)-graded algebra, where the grading on E is supposed to be the canonical one, and we find its graded ideal of identities.
Graded Identities of Several Tensor Products of the Grassmann Algebra
Centrone, Lucio;
2021-01-01
Abstract
Let F be an infinite field of characteristic different from two and E be the unitary Grassmann algebra of an infinite dimensional F-vector space L. Denote by Egr an arbitrary Z_2-grading on E such that the subspace L is homogeneous. We consider Egr x E^n as a (Z_2xZ_2^n)-graded algebra, where the grading on E is supposed to be the canonical one, and we find its graded ideal of identities.File in questo prodotto:
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