its structural sheeaf and commonly denoted . This makes a ringed space, called an affine scheme and also denoted .

A sheaf of rings over a topological space consists of a family of rings indexed by the open sets of . For each inclusion of open sets, there is a canonical ring homomorphism . These canonical homomorphisms must satisfy some compatibility conditions.

The firat compatibility condition is that the canonical homorphisms behave

1.Previous
3.Next