A characterization of torsionfree modules over rings of quotients

Beachy, John A.

doi:10.1090/S0002-9939-1972-0296098-7

A characterization of torsionfree modules over rings of quotients

Author: John A. Beachy
Journal: Proc. Amer. Math. Soc. 34 (1972), 15-19
MSC: Primary 16A40
DOI: https://doi.org/10.1090/S0002-9939-1972-0296098-7
MathSciNet review: 0296098
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Abstract: Let $\sigma$ be an idempotent kernel functor defining the ring of left quotients ${Q_\sigma }(R)$ . We introduce a notion of $\sigma$ -divisibility, and show that a $\sigma$ -torsionfree R-module M is a module over ${Q_\sigma }(R)$ if and only if M is $\sigma$ -divisible.

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