principal ideal domain

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noun Mathematics.

a commutative integral domain with multiplicative identity in which every ideal is principal.

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Also called principal ideal ring .

Origin of principal ideal domain

First recorded in 1960–65

White and Crandall agree that low-intensity workouts are ideal.
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The land at Easter Elchies was the ideal place for Reid to set up his business.
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I reached out with heartfelt pleas, and spoke to people that I felt were ideal—and I was right in most cases.
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However the American sexual ideal is intimately related to a certain idea of masculinity.
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The problem comes at this point because the liquid loses its potency within an hour even in ideal conditions.
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This is the first and principal point at which we can stanch the wastage of teaching energy that now goes on.
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"The Smoker," and "Mother and Daughter," a triptych, are two of her principal pictures.
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It is the principal waste-product of metabolism, and constitutes about one-half of all the solids excreted—about 30 gm.
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I believe that these are ideal characters constructed from still more ancient legends and traditions.
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The America that they annexed to Europe was merely a new domain added to a world already old.
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