Generic extensions of models of ZFC

summary:The paper contains a self-contained alternative proof of my Theorem in Characterization of generic extensions of models of set theory, Fund. Math. 83 (1973), 35--46, saying that for models $M\subseteq N$ of ZFC with same ordinals, the condition $Apr_{M,N}(\kappa)$ implies that $N$ is a $\kappa$-C.C. generic extension of $M$