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Proposition: Cancellation Law

Let \((R, +, \cdot)\) be an integral domain and let \(a,b,c\in R\) with \(c\neq 0\). Then we have \[ac=bc\Leftrightarrow a=b.\]

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Proofs: 1

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References

Bibliography

  1. Modler, Florian; Kreh, Martin: "Tutorium Algebra", Springer Spektrum, 2013