Universality of the category of schemesReport as inadecuate



 Universality of the category of schemes


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In this paper, we generalize the construction method of schemes to other algebraic categories, and show that the category of coherent schemes can be characterized by a universal property, if we fix the class of Grothendieck topology. Also, we introduce the notion of $\scr{C}$-schemes, which is a further generalization of coherent schemes and still shares common properties with ordinary schemes.



Author: Satoshi Takagi

Source: https://archive.org/



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