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)
“The emancipation of today displays itself mainly in cigarettes and shorts. There is even a reaction from the ideal of an intellectual and emancipated womanhood, for which the pioneers toiled and suffered, to be seen in painted lips and nails, and the return of trailing skirts and other absurdities of dress which betoken the slave-woman’s intelligent companionship.”
—Sylvia Pankhurst (1882–1960)