integral domain(redirected from Divisibility in rings)
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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.