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Keywords:
dilatations of categories; factorizations of morphisms; fractions of morphisms; categories of fractions; localizations of categories; algebraic dilatations; universal property of dilatations
dilatations of categories; factorizations of morphisms; fractions of morphisms; categories of fractions; localizations of categories; algebraic dilatations; universal property of dilatations
Summary:
Dilatations modify categories by imposing that some morphisms factorize through some others. This is formalized by a universal property. This text is devoted to introduce and study this construction. Examples of dilatations of categories include localizations of categories and dilatations of rings.
References:
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