Torsion-free covers II |
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Authors: | Mark L. Teply |
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Affiliation: | (1) Department of Mathematics, University of Florida, 32611 Gainesville, Florida, U.S.A. |
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Abstract: | This paper continues the study of the existence of torsion-free covers with respect to a faithful hereditary torsion theory (ℑ,F) of left modules over a ringR with unity. If the filter of left ideals associated with (ℑ,F) has a cofinal subset of finitely generated left ideals, then every leftR-module has a torsion-free cover. An example is given to illustrate how this result generalizes all previously known existence theorems for torsion-free covers. |
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