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SUMMARY:Gabriella D'Este (University of Milano)
DTSTART:20200925T160000Z
DTEND:20200925T163000Z
DTSTAMP:20260423T024453Z
UID:SheRepTh/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SheRepTh/20/
 ">ROOM 7: Isomorphisms and extensions of uniserial modules</a>\nby Gabriel
 la D'Este (University of Milano) as part of Sherbrooke Meeting on Represen
 tation Theory of Algebras\, Corona Edition (fully online)\n\n\nAbstract\nT
 he first open problems in  Auslander - Reiten - Smalo  book  " Representat
 ion\nTheory of  Artin algebras "  deal with uniserial modules.  In particu
 lar Problem 1\ndeals with the isomorphism problem for uniserial modules\, 
 while Problem 3\ndeals with the extension problem for the same modules.\nI
  will present a partial solution to  Problems 1 and 3  obtained in two joi
 nt\npapers with  Fatma Kaynarca and  Derya Keskin Tutuncu.\nConcerning the
  isomorphism problem\, we obtain a  " two fixed point\ntheorem" .  Finally
 \, concerning the extension problem we obtain a\n" two terms in the middle
  theorem" .\nGoogle and the words " Isomorphism problem for uniserial modu
 les over\narbitrary rings " give the file of our first paper in Comm. Alge
 bra (April 2020).\nGoogle and the words  " Forthcoming articles\, Mathemat
 ics\, Padova "  \ngive the link to our second paper  " Extensions of unise
 rial modules " \,\nacceped for publication in Rendiconti del Seminario Mat
 ematico\ndell'Università di Padova.\n
LOCATION:https://researchseminars.org/talk/SheRepTh/20/
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