Abstract
To simplify, let us work with the category Aff of affine schemes. This is the dual category to the category of commutative rings. One thinks of affine schemes as topological spaces of the form Spec A where morphisms are those induced from ring homomorphisms by the functorality of Spec.
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References
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Winters, G.B. (2010). An Elementary Lecture on Algebraic Spaces. In: Salmon, P. (eds) Categories and Commutative Algebra. C.I.M.E. Summer Schools, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10979-9_9
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DOI: https://doi.org/10.1007/978-3-642-10979-9_9
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