摘要
设R是环.引入了余纯FP_n-平坦模的概念,探讨了这一模类与右R-模的FP_n-平坦预包络和左R-模的FP_n-平坦伴随预包络之间的关系.
Let R be a ring.The conception of Copure FPn-flat module is introduced,and the relationships of this kind of modules with the FPn-flat preenvelope of the right R-modules and the FPn-flat adjoint preenvelope of the left R-modules are given.
引文
[1]ENOCHS E E,JENDA O M G.Copure Injective Resolutions,Flat Resolevents and Dimensions[J].Commentationes Mathematicae Universitatis Carolinae,1993,34(2):203-211.
[2]DING N Q,CEHN J L.On Copure Flat Modules and Flat Resolvents[J].Commanications in Algebra,1996,24(3):243-262.
[3]MAO L X.Adjoint Preenvelope and Precover of Modules[J].Publicationes Mathematicae Debrecen,2016,88(1-2):139-161.
[4]BRAVO D,PREZ M A.Finiteness Conditions and Cotorsion Pairs[J].Journal of Pure and Applied Algebra,2017,221(6):1249-1267.
[5]ENOCHS E E,JENDA O M G.Relative Homological Algebra[M].Berlin:Walter de Gruyter,2000.
[6]ROTMAN J J.An Introduction to Homological Algera[M].New York:Academic Press,1979.