Fractional Ideal

In mathematics, in particular commutative algebra, the concept of fractional ideal is introduced in the context of integral domains and is particularly fruitful in the study of Dedekind domains. In some sense, fractional ideals of an integral domain are like ideals where denominators are allowed. In contexts where fractional ideals and ordinary ring ideals are both under discussion, the latter are sometimes termed integral ideals for clarity.

Read more about Fractional Ideal:  Definition and Basic Results, Dedekind Domains, Divisorial Ideal

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    Hummingbird
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    The difference between the actual and the ideal force of man is happily figured in by the schoolmen, in saying, that the knowledge of man is an evening knowledge, vespertina cognitio, but that of God is a morning knowledge, matutina cognitio.
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