integral domain

(redirected from Divisibility in rings)
Also found in: Dictionary.

integral domain

[′int·ə·grəl dō′mān]
(mathematics)
A commutative ring with identity where the product of nonzero elements is never zero. Also known as entire ring.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.