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SUMMARY:Thiago Castilho de Mello (Federal University of São Paulo\, Brazi
 l)
DTSTART:20230424T150000Z
DTEND:20230424T160000Z
DTSTAMP:20260423T052546Z
UID:ENAAS/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/22/">I
 mages of polynomials on algebras</a>\nby Thiago Castilho de Mello (Federal
  University of São Paulo\, Brazil) as part of European Non-Associative Al
 gebra Seminar\n\n\nAbstract\nThe so-called Lvov-Kaplansky Conjecture state
 s that the image of a multilinear polynomial evaluated on the matrix algeb
 ra or order n is always a vector subspace. A solution to this problem is k
 nown only for $n=2$. In this talk we will present analogous conjectures fo
 r other associative and non-associative algebras and for graded algebras. 
 Also\, we will show how we can use gradings to present a statement equival
 ent to the Lvov-Kaplansky conjecture.\n
LOCATION:https://researchseminars.org/talk/ENAAS/22/
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