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
Famous quotes containing the words fractional and/or ideal:
“Hummingbird
stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
“Realism absorbs the ideal by adding a few small imperfections. Example: it paints a few specks of mud on the white gown of the Lady in the Garden.”
—Mason Cooley (b. 1927)