Translation of "ordered field" into Russian

упорядоченное поле is the translation of "ordered field" into Russian.

ordered field noun grammar

(algebra) A field which has an order relation satisfying these properties: trichotomy, transitivity, preservation of an inequality when the same element is added to both sides, and preservation of an inequality when the same strictly positive element is multiplied to both sides. [..]

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English-Russian dictionary

  • упорядоченное поле

    field together with a total ordering of its elements that is compatible with the field operations

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