In mathematics, the zero ideal in a ring is the ideal consisting of only the additive identity (or zero element). It is immediate to show that this is an ideal.
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Famous quotes containing the word ideal:
“But I must needs take my petulance, contrasting it with my accustomed morning hopefulness, as a sign of the ageing of appetite, of a decay in the very capacity of enjoyment. We need some imaginative stimulus, some not impossible ideal which may shape vague hope, and transform it into effective desire, to carry us year after year, without disgust, through the routine- work which is so large a part of life.”
—Walter Pater (1839–1894)
“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)