| 摘要: |
| 利用投射模的研究方法构造出了CE－内射模的对偶模类CE－投射模，刻画了CE－投射模及其CE－投射维数的一些性质；结论如下：假如F:RM→SM为模范畴的等价函子,G是F的逆函子，则M为R-CE-投射模当且仅当F(RM)为S -CE-投射模；RM在环R上的CE-投射维数与SF(RM)在环上的CE-投射维数是相等的，也即l.CEpd(RM)=l.CEpd(SF(RM)). |
| 关键词: CE－投射模 CE－投射维数，模范畴等价 |
| DOI： |
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| On CE projective Modules and CE projective Dimension |
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XIE Guo gen
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| Abstract: |
| Making use of the research on projective module, this paper constructs CE projective modules, the dual modules of CE injective modules, and gives some properties of CE projective modules and CE projective dimension. The results are as follow: Suppose an equivalent of modules categories functor F:RM→SM, and G is inverse functor of F, (1)M is CE projective modules, if and only if F(RM)is CE projective modules;(2) CE projective dimension of M on ring R and CE projective dimension F(RM)on ring S are equal, l.CEpd(RM)=l.CEpd(SF(RM)) |
| Key words: CE projective modules CE projective dimension equivalent of modules categories |
