What is the image of the restriction of the Spec functor (the functor from commutative rings to affine schemes) to commutative rings with the trivial monoid under multiplication?
Thanks very much
The question doesn't make sense. The spec construction works for unital commutative rings (otherwise many properties break down, e.g. the equivalence between affine schemes). And these don't have a trivial multiplication (except for the zero ring).