A sheaf of rings on a topological space 
is a sheaf 
such that each 
is a ring and every restriction
map is a ring homomorphism. A topological
space equipped with a sheaf of rings is a ringed space.
Sheaf of Rings
See also
Locally Ringed Space, Ringed Space, Sheaf, Structure SheafExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Sheaf of Rings." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SheafofRings.html