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Gabriel–Popesco theorem

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DbpediaThing

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In mathematics, the Gabriel–Popesco (or Popescu) theorem is an embedding theorem for certain abelian categories, introduced by Pierre Gabriel and Nicolae Popesco (1964). It characterizes certain abelian categories (the Grothendieck categories) as quotients of module categories.There are several generalizations and variations of the Gabriel–Popesco theorem, given by Kuhn (1994) (for an AB5 category with a set of generators), Lowen (2004), Porta (2010) (for triangulated categories).

English Wikipedia http://en.wikipedia.org/wiki/Gabriel?Popesco_theorem

Spanish wikipedia http://es.wikipedia.org/wiki/Gabriel?Popesco_theorem

Wiki page external link http://www-math.mit.edu/~lurie/917notes/Lecture8.pdf