BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Manuel Cortes Izurdiaga DTSTART:20210616T140000Z DTEND:20210616T150000Z DTSTAMP:20260423T004826Z UID:TRAC/18 DESCRIPTION:Title: Pa rtial morphisms and injective hulls in exact categories\nby Manuel Cor tes Izurdiaga as part of The TRAC Seminar - Théorie de Représentations e t ses Applications et Connections\n\n\nAbstract\nIn the seminal paper wher e Ziegler developed the model theory of modules\, he introduced\, using mo del theoretical language\, the notion of partial morphism. Later\, Monari Martinez characterized this notion in module theoretical terms. In the tal k\, we will give a categorical characterization of partial morphisms in mo dule categories\, which will allow us to extend them to any exact category . Then\, we will see how all properties of partial morphisms in module cat egories extend to exact categories\, and we will establish their relations hip with cophantom morphisms and injective objects. Finally\, we will disc uss how partial morphisms can be used to characterize injective hulls\, an d we will give a condition that implies the existence of such hulls in an exact category.\n LOCATION:https://researchseminars.org/talk/TRAC/18/ END:VEVENT END:VCALENDAR