【摘要】 引进了MQ环的定义,并且在此基础上,得到了r.max.fdM≤n的等价命题,另外对于右R-模短正合列0→M→N→P→0,得到了其上模之间的维数关系,同时对极大内射维数和极大平坦维数的其它性质也作了刻画。更多还原

【Abstract】 In the paper,MQ rings are introduced and the equivalence properties of γ max.fdM≤n are shown,meanwhile,the dimensional relationship of modules which are on the short exact sequence(i.e.0MNP0) are given,and other properties of maximally injective dimensions and maximally flat dimensions are also discussed.更多还原