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integral domain

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integral domain

–noun Mathematics.
a commutative ring in which the cancellation law holds true.

Origin:
1935–40
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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integral domain  
n.  A commutative ring with identity having no proper divisors of zero, that is, where the product of nonzero elements cannot be zero.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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