Place (mathematics)

In mathematics, an absolute value is a function which measures the "size" of elements in a field or integral domain. More precisely, if D is an integral domain, then an absolute value is any mapping | | from D to the real numbers R satisfying|x| ≥ 0|x| = 0 if and only if x = 0|xy| = |x||y||x+y| ≤ |x|+|y|Note that some authors use the term valuation instead of "absolute value".
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