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Title: Alternative algebraic definitions of the Hessenberg natural operations in the ordinal numbers.
Institution and School/Department of submitter: University of Ioannina, School of Economic and Administrative Sciences, Dept of Accouning-Finance
Subject classification: Mathematics
Keywords: Hessenberg natural operations,Ordinal numbers,Semirings,Inductive rules,Transfinite induction
Publisher: Dr Christos Frangos,B.Sc.,M.Sc.,Ph.D.(London School of Economics)
Table of contents: This paper proves prerequisite results for the theory of Ordinal Real Numbers. In this paper, is proved that any field-inherited abelian operations and the Hessenberg operations ,in the ordinal numbers coincide.It is given an algebraic characterisation of the Hessenberg operations ,that can be described as an abelian, well- ordered,double monoid with cancelation laws.
Appears in Collections:Ομιλίες σε Συνέδριο - ΛΧ

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