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Fractional ideal

Noun

Definitions

1.NounGiven an integral domain R and its field of fractions K = Frac(R), an R-submodule I of K such that for some nonzero r∈R, rI ⊆ R.

Synonyms

factor ideal quotient ring field of fractions total ring of fractions idealizer localization radical ideal ring of fractions valuation ring ideal residue field radical

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