It is clear that every prime ideal is primary.
Example. Let in . Suppose that but . Then , but 25 does not divide . Thus 5 must divide , and thus some power of (namely, ), must be in .
The radical of a primary ideal is always a prime ideal. If is the radical of the primary ideal , we say that is -primary.
|Date of creation||2013-03-22 14:15:01|
|Last modified on||2013-03-22 14:15:01|
|Last modified by||mathcam (2727)|