# affine coordinate ring in a sentence

- There is a unique affine structure on this maximal spectrum that is compatible with the filtration on the
*affine coordinate ring*. - We may define the function field of " V " to be the field of fractions of the
*affine coordinate ring* of any open affine subset, since all such subsets are dense. - For the Riemann sphere, above, the notion of a polynomial is not defined globally, but simply with respect to an
*affine coordinate ring* of " U ", and that a rational function on all of " V " consists of such local data which agree on the intersections of open affines. - It's difficult to find
*affine coordinate ring* in a sentence.