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Gabriel localization in functor categories
Communications in Algebra ( IF 0.6 ) Pub Date : 2021-07-21 , DOI: 10.1080/00927872.2021.1942481
Martín Ortiz-Morales 1 , Martha Lizbeth Shaid Sandoval-Miranda 2 , Valente Santiago-Vargas 3
Affiliation  

Abstract

Gabriel showed that for a unital ring R, there exists a bijective correspondence between the set of Gabriel filters of R and the set of Giraud subcategories of Mod(R). In this paper we prove a result analogous to the one given by Gabriel: for a small preadditive category C, there exists a bijective correspondence between the left Gabriel filters of C and Giraud subcategories of Mod(C).



中文翻译:

函子类别中的 Gabriel 本地化

摘要

加布里埃尔表明,对于一个单位元环- [R ,存在该组加布里埃尔滤波器之间的双射对应ř和该组吉罗子类别模组(电阻). 在本文中,我们证明了一个类似于 Gabriel 给出的结果:对于一个小的预加类别 C, 的左 Gabriel 滤波器之间存在双射对应 C 和 Giraud 子类别 模组(C).

更新日期:2021-07-21
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