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SUMMARY:Marcos Mazari-Armida (Carnegie Mellon University)
DTSTART:20210413T190000Z
DTEND:20210413T200000Z
DTSTAMP:20260423T004728Z
UID:PALS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PALS/10/">St
 ability in abstract elementary classes of modules</a>\nby Marcos Mazari-Ar
 mida (Carnegie Mellon University) as part of PALS Panglobal Algebra and Lo
 gic Seminar\n\n\nAbstract\nAbstract elementary classes (AECs for short) we
 re introduced by Shelah in the seventies to study those classes of structu
 res that can not be axiomatized by a first-order theory. In this talk\, we
  will introduce the basic notions of AECs and showcase them in classes of 
 modules. In particular\, we will explore if every AEC of modules with pure
  embeddings is stable. Using that the class of p-groups with pure embeddin
 gs is a stable AEC\, we will present a solution to a problem of László F
 uchs.\n
LOCATION:https://researchseminars.org/talk/PALS/10/
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