Absolute value (algebra)

id: absolute-value-algebra-241-320938
title: Absolute value (algebra)
text: In algebra, 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 |x| from D to the real numbers R satisfying: It follows from these axioms that |1| = 1 and |−1| = 1. Furthermore, for every positive integer n, The classical "absolute value" is one in which, for example, |2| = 2, but many other functions fulfill the requirements stated above, for instance the square roo
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original url: https://en.wikipedia.org/wiki/Absolute_value_(algebra)
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date modified: 2024-03-26T12:51:53Z
main entity: {"identifier":"Q4669840","url":"https://www.wikidata.org/entity/Q4669840"}
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