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- W2912967494 abstract "In the last years, growing attention has been paid to the employment of the functor categories of a ring to better understand the representation of the ring itself. In this thesis a new aspect is analyzed:it is indeed possible to show that module categories can be embedded asGiraud (co-Giraud) subcategories in their contravariant (covariant) functorcategories, and a proof of this fact is given. Also, a focus on thetransfer of torsion pairs from the functor category to the underlyingmodule category (and viceversa) is made. Finally, an original proof of theGabriel-Popescu theorem (as a powerful example of the employment of Giraud subcategories) is given, together with the original proof of some of its corollaries." @default.
- W2912967494 created "2019-02-21" @default.
- W2912967494 creator A5082563814 @default.
- W2912967494 date "2018-10-12" @default.
- W2912967494 modified "2023-09-26" @default.
- W2912967494 title "Torsion theory in Giraud subcategories of the functor category of a ring" @default.
- W2912967494 hasPublicationYear "2018" @default.
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