关于内射模和投射模的挠论性质

Tersion Property for Injective and Projective Modules

中文摘要:

      设R是有单位元的环.τ表示左R—模范畴中的一个挠理论.本文首先研究了τ—内射模、τ—投射模的有关性质,给出一些等价命题.对QF-环作了刻画,其次讨论了τ—内射模的局部化问题;最后刻画了模的τ—挠根结构及补根.文中有关挠理论的概念见[l].

英文摘要:

      For a ring R with 1 and a torsion theory τ defined on R-mod [1], we give some prop-erties on τ-injective modules ,τ-projective modules and some equivalent conditions, depicted QF-ring; we also discuss localization on τ-injective modules, and depice τ-torsion radicals and the radical supplementing it.