On $CR$ mappings between algebraic Cauchy--Riemann manifolds and   separate algebraicity for holomorphic functions
  We prove the algebraicity of smooth $CR$-mappings between algebraic Cauchy--Riemann manifolds. A generalization of separate algebraicity principle is established. 
R.A. Sharipov and A.B. Sukhov (Department of Mathematics, Bashkir   State University, Ufa, Russia)