ON DECOMPOSING IDEALS INTO PRODUCTS OF COMAXIMAL IDEALS

ABSTRACT

We consider integral domains for which each nonzero ideal (or each nonzero principal ideal ) can be written as a product , where the are pairwise comaximal and have some additional property. We determine the structure of integral domains having this property in the following cases: each has prime radical; each is primary; each is the power of a prime ideal.

ACKNOWLEDGMENT

This paper was written, composed, and typeset electronically. The difficulty posed by two authors working in different locations and using different interfaces to Tex would have been insurmontable without the help of Fred Richman and to Fred we offer our sincere thanks.