Regev's theorem

In algebra, Regev's theorem, proved by Amitai Regev (1971, 1972), states that the tensor product of two PI algebras is a PI algebra.

References

• Regev, Amitai (1971), "Existence of polynomial identities in A⊗_FB", Bulletin of the American Mathematical Society 77 (6): 1067–1069, doi:10.1090/S0002-9904-1971-12869-0, ISSN 0002-9904, MR0284468, http://projecteuclid.org/euclid.bams/1183533194 
• Regev, Amitai (1972), "Existence of identities in A⊗B", Israel Journal of Mathematics 11: 131–152, doi:10.1007/BF02762615, ISSN 0021-2172, MR0314893