Di Bernardo, Sonia Julia (2018) The Gabriel-Popescu Theorem. [Magistrali biennali]
Per questo documento il full-text online non disponibile.
The fisrt focus of the paper is to prove and compar two different version of the Gabriel-Popescu Theorem, showing the connection between the notion of localization and the notion of torsion theory. Then we will prove, as a corollary, that Grothendieck categories are locally presentable and, for this purpose, we will show an adjoint functor theorem for locally presentable categories. Finally we will prove an "analogous-dual" theorem to the Gabriel-Popescu theorem concerning the categories of models of additive k-ary algebraic theories, thanks to the notion of monad and of algebra over a monad.
Solo per lo Staff dell Archivio: Modifica questo record