Huanyin Chen and Marjan Sheibani Hangzhou Normal University, Semnan University
Abstract : We prove, in this note, that a Zabavsky ring $R$ is an elementary divisor ring if and only if $R$ is a B\'ezout ring. Many known results are thereby generalized to much wider class of rings, e.g. \cite[Theorem 14]{4}, \cite[Theorem 4]{6}, \cite[Theorem 1.2.14]{9}, \cite[Theorem 4]{11} and \cite[Theorem 7]{12}.
