TITLE: A Laskerian non-Noetherian ring
QUESTION [33 upvotes]: A Laskerian ring is a ring in which every ideal has a primary decomposition. The Lasker-Noether theorem states that every commutative Noetherian ring is a Laskerian ring (as an easy consequence of the ascending chain condition). 

And I've found the statement that there are non-Noetherian Laskerian rings, but I can't find an example. Any ideas?

Edit. As the tag already suggested, I'm particularly interested in a commutative Laskerian non-Noetherian ring, but noncommutative examples are also welcome. It never hurts to know more counterexamples.

REPLY [5 votes]: See I. Armeanu, On a class of Laskerian rings, Revue Roum. Math. Pures et Appl. XXII,
8, 1033–1036, Bucharest, 1977.