关于强duo模的推广

摘要

本文给出了强duo模的一个推广——极大强duo模，研究了极大强duo模的一些刻画及性质，并且证明了在半单模的条件下，极大强duo模与强duo模是等价的．%As a generalization of strong duo module, the concept of maximal duo module was given in this pa- per. Some characterizations and properties of maximal strongly duo module were studied and it was proved that un- der the condition of semi-simple module, maximal strongly duo module and strongly duo module were equivalent.