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ordered field
[/ˈɔrdərd fiːld/]
noun
pl: ordered fields
corpo ordenado
1.
A mathematical field with a total order that is compatible with the field operations of addition and multiplication.
The real numbers form an ordered field where every non-zero element is either positive or negative.
Os números reais formam um corpo ordenado onde todo elemento não-nulo é positivo ou negativo.
2.
A field structure where elements can be compared using inequality relations that respect algebraic properties.
In an ordered field, if a < b and c > 0, then ac < bc.
Em um corpo ordenado, se a < b e c > 0, então ac < bc.
Synonyms
totally ordered field
Regional Variations
General Brazilian
corpo ordenado
Standard term used in Brazilian mathematics education and literature
Portugal
corpo ordenado
Standard term used in Portuguese mathematics education and literature
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