Noetherian Rings in Which Every Ideal is a Product of Primary Ideals
Noetherian Rings in Which Every Ideal is a Product of Primary Ideals
The classical rings of number theory, Dedekind domains, are characterized by the property that every ideal is a product of prime ideals. More generally, a commutative ring R with identity has the property that every ideal is a product of prime ideals if and only if R is a finite …