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Co Algebras Shifts and a theorem by E Abe and M P Schutzenberger

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(Co)-Algebras, Shifts and a theorem by E. Abe and M. P. Schutzenberger Matthieu Deneufchatel Laboratoire d'Informatique de Paris Nord, Universite Paris 13 CIP, 26 October 2010

  • then both families

  • argument allows

  • argument also applies

  • vector spaces

  • ?f ?

  • then there exists

  • k? ?


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adna(Co)-Algebras,ShiftstheorembyE.AbeandM.P.Schu¨tzenbergerMatthieuDeneufchaˆtelLaboratoired’InformatiquedeParisNord,Universite´Paris13,PIC26October2010
NotationsInthistalk,.MDnIrtoudtcoinLet(A,µ,u)and(C,Δ,)denoterespectivelyanassociativealgebrawithunituandacoalgebra(coassociativewithcounit),kthegroundfield.AdenotesthealgebraicdualofthevectorspaceA.ForV,Wtwovectorspaces,fHom(V,W)andvV,hf|videnotesthevalueoff(v).Transposeofalinearmap:wedenotebytf:WVthetransposeoff:eenfuhctaˆleL(PIN-1P)3htf(w)|vi=hw|f(v)i,vV.hSfistnadlAegrbsa621//002012/12
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