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

notion of spaces in algebraic geometry, are locally ringed spaces that are locally isomorphic to the spectrum of a ring. Given a ringed space, a sheaf...

being researched: Greater blue-ringed octopus (Hapalochlaena lunulata) Southern blue-ringed octopus or lesser blue-ringed octopus (Hapalochlaena maculosa)...

the sections of a given coherent sheaf. A quasi-coherent sheaf on a ringed space ( X , O X ) {\displaystyle (X,{\mathcal {O}}_{X})} is a sheaf F {\displaystyle...

mathematics, a ringed topos is a generalization of a ringed space; that is, the notion is obtained by replacing a "topological space" by a "topos". The...

ideal P, and this is a local ring. Consequently, Spec ⁡ ( R ) {\displaystyle \operatorname {Spec} (R)} is a locally ringed space. If R is an integral domain...

analytic space is a generalization of a complex manifold that allows the presence of singularities. Complex analytic varieties are locally ringed spaces that...

In mathematics, an invertible sheaf is a sheaf on a ringed space which has an inverse with respect to tensor product of sheaves of modules. It is the equivalent...

In mathematics, a sheaf of O-modules or simply an O-module over a ringed space (X, O) is a sheaf F such that, for any open subset U of X, F(U) is an O(U)-module...

scheme is a locally ringed space isomorphic to the spectrum Spec(R) of a commutative ring R. A scheme is a locally ringed space X admitting a covering...