Characterization of multiplication commutative rings with finitely many minimal prime ideals

The aim of the article is to give a characterization of a multiplication commutative ring with finitely many minimal prime ideals: Each such ring is a finite direct product of rings ∏ni=1Di where Di is either a Dedekind domain or an Artinian, local, principal ideal ring and vice versa. In particular, each such ring is a Noetherian ring. As a corollary subclasses of such rings are described (semiprime, Artinian, semiprime and Artinian, local, domain, etc.).