On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities

The Cayley-Hamilton-Newton identities which generalize both the characteristic identity and the Newton relations have been recently obtained for the algebras of the RTT-type. We extend this result to a wider class of algebras M(R̂, F̂ ) defined by a pair of compatible solutions of the Yang-Baxter equation. This class includes the RTTalgebras as well as the Reflection equation algebras. On leave of absence from P. N. Lebedev Physical Institute, Theoretical Department, Leninsky pr. 53, 117924 Moscow, Russia On leave of absence from Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia