English Dictionary

fractional ideal

noun

(algebra, ring theory) 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.

A fractional ideal is a generalization of an ideal in algebra.

意味（1）

(algebra, ring theory) 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.

Products of fractional ideals are again fractional ideals, since if A𝛼⊆R and B𝛽⊆R, then (AB)(𝛼𝛽)⊆R.