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https://olympias.lib.uoi.gr/jspui/handle/123456789/31291| 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 |
| URI: | https://olympias.lib.uoi.gr/jspui/handle/123456789/31291 http://dx.doi.org/10.26268/heal.uoi.11116 |
| 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 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| AlternativeHessenberg_frangos_conference.pdf | 294.12 kB | Adobe PDF | View/Open |
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