fractional ideal
fractional ideal · fractional ideals
Given an integral domain R and its field of fractions K = Frac, an R-submodule I of K…Given 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.
Meaning
1 sensesGiven 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.
Forms
plural: fractional ideals| Singular | fractional ideal |
|---|---|
| Plural | fractional ideals |
regular
Synonyms
2 synonymsinvertible ideal:R-submodule of Frac(R) such that for some nonzero r∈RrI ⊆ R