Talk:Atomic domain

Finite is ambiguous

In the definition of atomic, it seems that there is some ambiguity with the word "finite". Consider for instance subrings of real numbers (or complex numbers) : is it trivial that there is no difference between "any element can be written as a product of irreducible" and "any element can be written as a finite product of irreducible" ? (it could be possible that infinite product of irreducible elements are defined for such rings, contrarily to what is assumed in the following for a general ring where properties of real analysis do not hold) 15:16, 14 November 2012‎ 193.50.42.237