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principal ideal domain
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principal ideal domain
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:
1960–65
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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principal ideal domain
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Principal ideal domain
is always a great word to know.
So is
integer
. Does it mean:
So is
divisible
. Does it mean:
So is
proportional
. Does it mean:
one of the positive or negative numbers 1, 2, 3, or zero
a number usually expressed in the form a/b, a ratio of algebraic quantities similarly expressed
capable of being evenly divided, without remainder
the letter used as the symbol for the ratio of the circumference of a circle to its diameter, or the ratio itself: 3.141592+
two quantities having the same or a constant ratio or relation
a positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded
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Principal ideal domain
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Principal ideal domain
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"A country is strong which consists of wealthy families, every member of whom is interested in defending a common treasure; it is weak when composed of scattered individuals, to whom it matters little whether they obey seven or one, a Russian or a Corsican, so long as each keeps his own plot of land, blind in their wretched egotism, to the fact that the day is coming when this too will be torn from them."
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