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:
“The ideal of brotherhood of man, the building of the Just City, is one that cannot be discarded without lifelong feelings of disappointment and loss. But, if we are to live in the real world, discard it we must. Its very nobility makes the results of its breakdown doubly horrifying, and it breaks down, as it always will, not by some external agency but because it cannot work.”
—Kingsley Amis (1922–1995)
“The republic, as I at least understand it, means association, of which liberty is only an element, a necessary antecedent. It means association, a new philosophy of life, a divine Ideal that shall move the world, the only means of regeneration vouchsafed to the human race.”
—Giuseppe Mazzini (1805–1872)