divides

(idea) by Noether Fri Aug 04 2000 at 13:53:57
Let R be a commutative integral domain and let a,b be elements of R. We say that a divides b if there exists c in R such that ac=b. In this case we write a|b.

This is most familiar when R=Z, the integers. For example, 2|4 but 2 doesn't divide 3.

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