Sheaf of algebras

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In algebraic geometry, a sheaf of algebras on a ringed space X is a sheaf of commutative rings on X that is also a sheaf of O X {\displaystyle {\mathcal {O}}_{X}} {\mathcal {O}}_{X} -modules. It is quasi-coherent if it is so as a module. When X is a scheme, just like a ring, one can take the global Spec of a ...

from Algebra

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