关于右FPP-平坦分解的正合性On the Exactness of Right FPP-flat Resolution
颜星华;李志伟;
摘要(Abstract)：
利用FPP-平坦模类来研究模的预包络,证明了模的FPP-平坦预包络总是存在的,刻画了使得模的右FPP-平坦分解中第n项为HomR(-,P)-正合的第n个FPP-平坦预包络性模P,给出了模的右FPP-平坦分解为正合复形的等价条件.
关键词(KeyWords)： FPP-内射模;FPP-平坦模;预包络
基金项目(Foundation): 福建省自然科学基金资助项目(2006J0220);; 福建省教育厅资助项目(JA12273)
作者(Authors): 颜星华;李志伟;
参考文献(References)：
- [1]Mao Lixin,Ding Nanqing.On divisible and torsionfree modules[J].Comm Algebra,2008,36(2):708-731.
- [2]Xue Weimin.On PP-rings[J].Kobe J Math,1990,7(1):77-80.
- [3]Enochs E.Injective and flat covers,envelopes and resolvents[J].Israel J Math,1981,39(3):189-209.
- [4]Enochs E,Jenda O M G.Relative homological algebra[M].Berlin,New York:Walter de Gruyter,2000.
- [5]Rada J,Saorin M.Rings characterized by(pre)envelopes and(pre)covers of their modules[J].Comm Algebra,1998,26:899-912.
- [6]Xu Jinzhong.Flat covers of modules[M].Berlin,Heidelberg,New York:Springer-Verlag,1996.
- [7]Anderson F W,Fuller K R.Rings and categories of modules[M].2nd.New York:Spring-Verlag,1992.
- [8]Rotman J J.An introduction to homological algebra[M].New York:Academic Press,1979.
- [9]Glaz S.Commutative coherent rings[M].Berlin:Springer-Verlag,1989.