Principal Fractional Ideals

Some articles on fractional ideal, ideals, fractional ideals:

Dedekind Domain - Fractional Ideals and The Class Group
... A fractional ideal is a nonzero R-submodule I of K for which there exists a nonzero x in K such that (We remark that this is not exactly the same as the definition given on the ... integral idealsfractional ideals.) Given two fractional ideals I and J, one defines their product IJ as the set of all finite sums the product IJ is again a fractional ideal ... The set Frac(R) of all fractional ideals endowed with the above product is a commutative semigroup and in fact a monoid the identity element is the fractional ideal R ...

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