# integral domain

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## 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 ?
NQR is called a neutrosophic quadruple integral domain if for x,y [member of] NQR, xy = 0 implies that x = 0 or y = 0.
Chew, "A novel mesh less scheme for solving surface integral equations with flat integral domain," IEEE Trans.
3D scanning, an integral domain of 3D technology, refers to the method used to capture a three dimensional view of an object along with information such as colour, texture, etc.
When the integral domain Q is regular in [a, b] x [c, d], using the two-dimensional Gauss quadrature formula with the transform as t = (b + a)/2 + (b - a)[xi]/2 = p([xi]) and s = (d + c)/2 + (c- c)[eta]/2 = q([eta]), we have
Consider the integral domain Z[[theta]] = {a + b[theta]|a, b [member of] Z}, where [theta] = (1 + ([square root of -19]))/2.
-integral was not completely path-independent and results were unreliable for small integral domain sizes.
Selecting the favourable integration path, this method can be used for different pieces' geometry, because of path-independence on the integral domain.
More generally, given any integral domain R, the ideal I1 in R[A] is prime.
The ring in this case is not an integral domain, since the modulus is composite.
He starts by covering the classical theorems, then describes the integral domain of rational integers, Euclidean domains, rings of polynomials and former power series, the Chinese remainder theorem and the evaluation of a number of solutions of a linear congruence with side conditions, reciprocity laws, and finite groups.
First, (21) has [0, L] as integral domains. These are due to the property of the scaling functions and wavelet functions.
Among the topics are understanding the group concept, building larger groups from smaller groups, solvable and insoluble groups, integral domains and fields, and Galois theory.
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