【摘要】 设R是满足（accr）的环，M是有限生成R-模，I是R的有限生成理想，且Irad（R）．本文首先证明了若对任意自然数n，M／I”M是平坦模，则M是平坦R-模．但反之不对对此本文证明了当M是平坦模时，M／IM是平坦模的条件．更多还原

【Abstract】 Let R be a ring satifying (acer),M be a finitely gererated R - module, I be finitely generated ideal of R,Irad (R). In the paper,we prove that if M/I’M is flat R-module for each of n,then M is flat R-module,but converse theorem is not. In view of the facts we prove condition that M/I"M is flat modale when M is flat module.更多还原