“…In [10] a basis for graded identities of the tensor product of a graded algebra A and an algebra with a regular grading is obtained from a basis for the graded identities for A. In Section 3 we prove the analogous result for graded central polynomials, we remark that a particular case of this result was proved in [3]. Therefore a basis for the graded identities and central polynomials of the tensor product division algebras is obtained once a basis for the basic algebras is known.…”
Let A be a finite dimensional real algebra with a division grading by a finite abelian group G. In this paper we provide finite basis for the T Gideal of graded identities and for the T G -space of graded central polynomials for A.
“…In [10] a basis for graded identities of the tensor product of a graded algebra A and an algebra with a regular grading is obtained from a basis for the graded identities for A. In Section 3 we prove the analogous result for graded central polynomials, we remark that a particular case of this result was proved in [3]. Therefore a basis for the graded identities and central polynomials of the tensor product division algebras is obtained once a basis for the basic algebras is known.…”
Let A be a finite dimensional real algebra with a division grading by a finite abelian group G. In this paper we provide finite basis for the T Gideal of graded identities and for the T G -space of graded central polynomials for A.
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