数学研究与评论
數學研究與評論
수학연구여평론
JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
2008年
1期
74-80
,共7页
f-projective module%f-injective module%finitely presented cyclic module%(pre)envelope%(pre)cover
Let R be a ring.A right R-module M is called f-projective if Ext1(M,N) = 0for any f-injective right R-module N.We prove that (F-proj,F-inj) is a complete cotorsion theory,where F-proj (F-inj) denotes the class of all f-projective (f-injective) right R-modules.Semihereditary rings,von Neumann regular rings and coherent rings are characterized in terms of f-projective modules and f-injective modules.
