Definition talk:GCD Domain

Euclidean Domain
Is there a difference between a GCD domain and a Euclidean domain? From Elements of Euclidean Domain have Greatest Common Divisor it is clear that a Euclidean domain is a GCD domain, but does it always hold the other way about? Looking at it, I feel intuitively that it may not. WeedyPedia doesn't comment.

Yet another refinement in that great classification of Abstract Algebraic structures. This is fun. Rock on. --prime mover 16:21, 8 May 2011 (CDT)