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SUMMARY:Nurlan Ismailov (Astana IT University\,  Kazakhstan)
DTSTART:20240701T150000Z
DTEND:20240701T160000Z
DTSTAMP:20260423T052501Z
UID:ENAAS/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/78/">O
 n variety of right-symmetric algebras</a>\nby Nurlan Ismailov (Astana IT U
 niversity\,  Kazakhstan) as part of European Non-Associative Algebra Semin
 ar\n\n\nAbstract\nThe problem of the existence of a finite basis of identi
 ties for a variety of associative algebras over a field of characteristic 
 zero was formulated by Specht in 1950. We say that a variety of algebras h
 as the Specht property if any of its subvariety has a finite basis of iden
 tities. In 1988\, A. Kemer proved that the variety of associative algebras
  over a field of characteristic zero has the Specht property. Specht’s p
 roblem has been studied for many well-known varieties of algebras\, such a
 s Lie algebras\, alternative algebras\, right-alternative algebras\, and N
 ovikov algebras. An algebra is called right-symmetric if it satisfies the 
 identity (a\, b\, c) = (a\, c\, b) where (a\, b\, c) = (ab)c − a(bc) is 
 the associator of a\, b\, c. The talk is devoted to the Specht problem for
  the variety of right-symmetric algebras. It is proved that the variety of
  right-symmetric algebras over an arbitrary field does not satisfy the Spe
 cht property. The talk is based on the results of joint work with U. Umirb
 aev.\n
LOCATION:https://researchseminars.org/talk/ENAAS/78/
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