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SUMMARY:Simone Virili (Università degli studi di Udine)
DTSTART:20210304T170000Z
DTEND:20210304T173000Z
DTSTAMP:20260421T121416Z
UID:cats2021/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cats2021/17/
 ">Abelian recollements of categories of modules over preadditive categorie
 s</a>\nby Simone Virili (Università degli studi di Udine) as part of Addi
 tive categories between algebra and functional analysis\n\n\nAbstract\nPsa
 roudakis and Vitoria have established that\, for a category of modules ove
 r a unitary ring\, there is a correspondence between Abelian recollements 
 by categories of modules and idempotent elements in the ring. In this talk
  we show how to extend this results to modules over preadditive categories
  (i.e.\, rings with several objects). In this more general setting\, some 
 of the proofs actually get simplified and the result can be probably bette
 r understood. \nFinally\, we apply the same methods to construct an exampl
 e of a locally finitely presented Grothendieck (Ab.4*) category that does 
 not have enough projectives.\n
LOCATION:https://researchseminars.org/talk/cats2021/17/
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