Definition 15.22.1. Let $R$ be a domain. Let $M$ be an $R$-module.

We say an element $x \in M$ is

*torsion*if there exists a nonzero $f \in R$ such that $fx = 0$.We say $M$ is

*torsion free*if the only torsion element of $M$ is $0$.

Definition 15.22.1. Let $R$ be a domain. Let $M$ be an $R$-module.

We say an element $x \in M$ is

*torsion*if there exists a nonzero $f \in R$ such that $fx = 0$.We say $M$ is

*torsion free*if the only torsion element of $M$ is $0$.

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