If A,B are superalgebras then, besides A⊗B, a ℤ2-graded tensor product A B arises. Kemer proved that if A,B are T-prime algebras then A⊗ B is multi-linear equivalent to a suitable T-prime algebra C. Regev and Seeman conjectured that this holds for A B as well. In this paper we prove their conjecture is true indeed, by means of G-graded polynomial identities. The results obtained are valid over any infinite field of characteristic ≠ 2.
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