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Lemma: A Criterion for Associates

Let $(R, + , \cdot)$ be an integral domain. Two elements $a,b$ are associates $a\sim b$ if and only if $a=cb$ for an element $c\in R^\ast$, where $(R^\ast,\cdot)$ is the group of units.

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References

Bibliography

1. Modler, Florian; Kreh, Martin: "Tutorium Algebra", Springer Spektrum, 2013
2. Koch, H.; Pieper, H.: "Zahlentheorie - Ausgewählte Methoden und Ergebnisse", Studienbücherei, 1976