30 апр. 2014 г. · A sheaf of rings F on a topological space X is a functor from the category of open subsets of X, where the morphisms are inclusions, to the category of rings. Confusion about the definition of a sheaf of rings on Spec A for ... basic question regarding the definition of sheaf of rings Другие результаты с сайта math.stackexchange.com

Definition 1. A sheaf of rings is a sheaf (of sets) F on a space X such that for each open U ⊆ X, F(U) has the structure of a ring and for each open V ⊆ U, ...

In mathematics, a ringed space is a family of (commutative) rings parametrized by open subsets of a topological space together with ring homomorphisms

In mathematics, a sheaf ( pl. : sheaves) is a tool for systematically tracking data (such as sets, abelian groups, rings) attached to the open sets of a ...

When A, B, F and G are sheaves of rings respectively groups we say that the homomorphisms are homomorphisms of sheaves of groups respectively rings. A sheaf of ...

Functions and methods returning a sheaf of rings : "Ring ~" -- see sheaf(Ring) -- make a coherent sheaf of rings; sheaf(Ring) -- make a coherent sheaf of ...

The sheafification (\mathcal{S}^{-1}\mathcal{O}_ X)^\# is a sheaf of rings with a map of sheaves of rings (\mathcal{O}_ X)^\# \to (\mathcal{S}^{-1}\mathcal{O}_ ...

16 апр. 2023 г. · Definition. A ringed space is a pair ( X , O X ) (X,O_X) where X X is a topological space and O X O_X is a sheaf of unital rings.

A sheaf of rings is a mathematical structure that associates to each open set of a topological space a ring, satisfying specific compatibility conditions ...