Abstract
Let F be an algebraically closed field and let A and B be arbitrary finite dimensional simple algebras over F. We prove that A and B are isomorphic if and only if they satisfy the same identities.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
The first author was partially supported by CNPq grant 305344/2009-9 and FAPESP grant 2010/50347-9. The second author was partially supported by RFBR grant No. 09-01-00303 and SSC-1983.2008.1.
Notes
Communicated by V. A. Artamonov.