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- W2078771164 abstract "We continue the study of modules over a general ring R whose submodules have a unique closure relative to a hereditary torsion theory on Mod-R. It is proved that, for a given ring R and a hereditary torsion theory τ on Mod-R, every submodule of every right R-module has a unique closure with respect to τ if and only if τ is generated by projective simple right R-modules. In particular, a ring R is a right Kasch ring if and only if every submodule of every right R-module has a unique closure with respect to the Lambek torsion theory." @default.
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- W2078771164 date "2014-12-01" @default.
- W2078771164 modified "2023-09-25" @default.
- W2078771164 title "Modules with Unique Closure Relative to a Torsion Theory. III" @default.
- W2078771164 cites W2169422036 @default.
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- W2078771164 doi "https://doi.org/10.1007/s11253-014-0992-x" @default.
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