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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Comments (1)
Comment #9795 by Laurent Moret-Bailly on
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