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Torsion-free covers II

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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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Authors and Affiliations

  1. Department of Mathematics, University of Florida, 32611, Gainesville, Florida, U.S.A.

    Mark L. Teply

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  1. Mark L. Teply
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Teply, M.L. Torsion-free covers II. Israel J. Math. 23, 132–136 (1976). https://doi.org/10.1007/BF02756792

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  • DOI: https://doi.org/10.1007/BF02756792

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