integral domain

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(redirected from Prime element)

integral domain

n.
A commutative ring with an identity having no proper divisors of zero, that is, where the product of nonzero elements cannot be zero.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
References in periodicals archive
It is also a prime element in the delightful sculptures and wall works of Franco Mazzucchelli, whose first solo exhibition in Germany, "Pneuma," offers a snapshot of the Italian artist's long career devoted to perceptively questioning our physical and financial interactions with sculpture and with the very nature of the art object.
Then, for prime element x [member of] Z[i], we have [PHI](x) = [delta](x) [18].
The grand white piano placed at the center of the lounge can't be missed and is possibly the prime element that adds a final touch to the ambience.
They cover representations of Weill groups, simple characters and tame parameters, action of tame characters, cuspidal representations, algebraic induction maps, some properties of the Langlands correspondence, a naive correspondence and the Langlands correspondence, totally ramified representations, unramified automorphic induction, discrepancy at a prime element, symplectic signs, and main theorem and examples.
Since [A.sup.(a)] = [[union].sub.b[not less than or equal to]a] [A.sub.[b]], there exist [b.sub.1], [b.sub.2] [not less than or equal to] a such that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], then we have x, y [member of] [A.sub.[b]] and b = [b.sub.1] [conjunction] [b.sub.2] [not less than or equal to] a (since a is a prime element).
A prime element in "Today is Friday" is Hemingway's frequent use of Biblical allusions to reveal character and motives.
This conclusion has become a prime element of the strategic review of UNIFIL that Ban is carrying out with member states.
This is no philosophy, but a prime element of our existence which has been suppressed beneath several reasons and conditions.
The other three members are trombonist Mark Bassey (who was once a prime element in the large ensembles of Julian Argelles), guitarist Jason Henson and drummer Sam Glasson.
Education of sustainable practices is a prime element of the TLMI program.
Dunod, Paris) which defines investment as a "change of an immediate and certain satisfaction, which is abandoned, for a future expectation that can be obtained using as prime element the invested goods", in short version, "an uncertain spending for an uncertain future".
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