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SUMMARY:Andrea Albano (University of Salento\, Italy)
DTSTART:20260323T150000Z
DTEND:20260323T160000Z
DTSTAMP:20260423T021127Z
UID:ENAAS/191
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/191/">
 Set-theoretic solutions of the Yang--Baxter equation and di-skew braces.</
 a>\nby Andrea Albano (University of Salento\, Italy) as part of European N
 on-Associative Algebra Seminar\n\n\nAbstract\nThe aim of this talk is to p
 rovide a brief overview of the role of generalised digroups in the study o
 f the set-theoretic Yang-Baxter equation (YBE). Digroups are algebraic obj
 ects endowed with two binary associative operations that arose in the inve
 stigations of R. Felipe\, K. Liu and M. Kinyon around the so-called coquec
 igrue problem\, as first stated by J. L. Loday. In detail\, we will introd
 uce the structure of di-skew braces as a split notion of usual skew braces
  and show how they provide a class of non-degenerate solutions to the set-
 theoretic YBE whose (left) derived rack is not necessarily idempotent. Mor
 eover\, we will describe basic properties of such solutions through the le
 ns of self-distributivity and explore related ideas. Based on a joint work
  with Paola Stefanelli.\n
LOCATION:https://researchseminars.org/talk/ENAAS/191/
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