characterization of primary ideals
Proof. ,,” Assume, that we have such that is a zero divisor in . In particular and there is , such that
This is if and only if . Thus either or for some . Of course , because and thus . Therefore , which means that is nilpotent in .
,,” Assume that for some we have and . Then
|Title||characterization of primary ideals|
|Date of creation||2013-03-22 19:04:29|
|Last modified on||2013-03-22 19:04:29|
|Last modified by||joking (16130)|