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SUMMARY:Érica Fornaroli (State University of Maringá\, Brazil)
DTSTART:20240729T150000Z
DTEND:20240729T160000Z
DTSTAMP:20260423T021118Z
UID:ENAAS/86
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/86/">I
 nvolutions of the second kind on finitary incidence algebras</a>\nby Éric
 a Fornaroli (State University of Maringá\, Brazil) as part of European No
 n-Associative Algebra Seminar\n\n\nAbstract\nLet K be a field and X a conn
 ected partially ordered set. In this talk we show that the finitary incide
 nce algebra FI(X\, K) of X over K has an involution of the second kind if 
 and only if X has an involution and K has an automorphism of order 2. We a
 lso present a characterization of the involutions of the second kind on FI
 (X\, K). We conclude by giving necessary and sufficient conditions for two
  involutions of the second kind on FI(X\, K) to be equivalent in the case 
 where characteristic of K is different from 2 and every multiplicative aut
 omorphism of FI(X\, K) is inner.\n
LOCATION:https://researchseminars.org/talk/ENAAS/86/
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