absolute value

Function which measures the "size" of elements in a field or integral domain

EntityQ4669840

Subclass of: real-valued function
, positive-definite function

Overview

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In algebra, an absolute value is a function that generalizes the usual absolute value. More precisely, if D is a field or an integral domain, an absolute value on D is a function, commonly denoted from D to the real numbers satisfying:

Overview

All data

10 statements · 0% with external sources · numbers in brackets are citations

Different from: absolute value
valuation
Image of function: set of non-negative real numbers
Definition domain: integral domain
Has characteristic: triangle inequality theorem

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4 identifiers linking absolute value across the web's reference databases

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statements

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Source last edited January 1, 2025. AIDB refreshes this page daily.

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AIDB. (2026). absolute value (Q4669840). Retrieved from https://aidb.si/e/absolute-value-Q4669840