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 ideal of men and women sharing equally in parenting and working is a vision still. What would it be like if women and men were less different from each other, if our worlds were not so foreign? A male friend who shares daily parenting told me that he knows at his very core what his wife’s loving for their daughter feels like, and that this knowing creates a stronger bond between them.”
—Anonymous Mother. Ourselves and Our Children, by Boston Women’s Health Book Collective, ch. 6 (1978)