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We consider the algebra over an infinite field equipped with a
-grading where the canonical basis is homogeneous and prove that in various cases, the graded identites are just the ordinary ones. If the grading is a non-canonical grading obtained as a quotient grading of the natural
-graded, we exhibit a basis for the graded identities.
We thank CNPq for the finantial support and the referee for valuable remarks.
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