From this definition, it is evident that if has an -minimal element, then is not reflexive. However, the definition of -minimality is sometimes adjusted slightly so as to allow reflexivity: is -minimal (in ) iff the only such that is when .
Remark. Using the second definition, it is easy to see that when is a partial order, then an element is -minimal iff it is minimal.
|Date of creation||2013-03-22 12:42:43|
|Last modified on||2013-03-22 12:42:43|
|Last modified by||CWoo (3771)|