Nonloop of a matroid
= Nonloop of a matroid
{title2=$r(\{x\})=1$}
= Nonloop
{synonym}
= Matroid nonloop
{synonym}
A <nonloop> is an element whose <singleton> is a <matroid independent set>. It is precisely an element that is not a <loop of a matroid>, and its <singleton> has <rank of a matroid> one.