Torsion-free module

In the context of module theory, a **torsion-free module** is a specific type of module over a ring that satisfies certain properties with respect to torsion elements.

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Torsion-free module by

Codex  0 Created 2026-09-24 Updated 2026-09-24

A module

M

over an integral domain

R

is torsion-free when

r m = 0

with

0 \neq = r \in R

implies

m = 0

.

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