辛林.真同态像都是挠模的挠自由模[J].数学研究及应用,1989,9(4):581~584
真同态像都是挠模的挠自由模
Torsion Free Modules in Which Every Proper Homorphism Image is Torsion
投稿时间:1987-11-30  
DOI:10.3770/j.issn:1000-341X.1989.04.025
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辛林 福建师范大学数学系 
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      This paper is devoted to proving the following fact :Let G be a Gabriel topology, E an injective module cogenerating torsion theory (T, F) associated to G. NG= (0≠M∈F|M/L∈T for every nonzero submodu-le L?M} . then, M∈NG if and only if1) M is uniform,2) every nonzero homomorphism form M into M is injective,3) M is a quasi-essential submodule of E.At the same time, we proved that if a module M∈NG then M, MG∈NG.Fi-nally, we considered critically compressible modules, under the assumption that Gabriel topology G is perfect.
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