Irrelevant ideal of a graded ring (source code)

= Irrelevant ideal of a graded ring
{title2=$S_+$}

For a nonnegatively graded ring $S=\bigoplus_{d\geq0}S_d$, the irrelevant ideal is
$$
S_+=\bigoplus_{d>0}S_d.
$$
The points of $\operatorname{Proj}S$ are precisely the homogeneous <prime ideals> that do not contain $S_+$.