Abstract
Let $R$ be a ring, and let $\tau$ be a torsion theory for R-mod. We give a necessary condition for every R-module to have a $\tau-$torsionfree cover; this necessary condition is close to the known sufficient condition. Then we present a method for computing, $\tau-$torsionfree covers of modules that can be embedded in $Q_{\tau}$-modules where $Q_{\tau}$ is the quotient ring for $\tau$.
Citation
Seog Hoon Rim. Mark L. Teply. "On coverings of modules." Tsukuba J. Math. 24 (1) 15 - 20, June 2000. https://doi.org/10.21099/tkbjm/1496164042
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