Free algebrae and alternative definitions of the Hessenberg operations in the ordinal numbers

Konstantinos Constantine Kyritsis (1)

1 TEI - Technological Educational Institute of Epirus

It is proved and is given, in this paper, two alternative algebraic definitions of the Hessenberg natural numbers in the ordinal numbers: a) by definition with transfinite induction and two inductive rules , b) by the free algebras of the polynomial symbols of the commutative semirings with unit .

Mots clés: Hessenberg natural operations; ordinal numbers; free algebras; semirings

Domaines: Mathématiques [math]

Konstantinos Constantine Kyritsis. Free algebrae and alternative definitions of the Hessenberg operations in the ordinal numbers. [Research Report] National Technical University of Athens. 1992, http://users.softlab.ntua.gr/~kyritsis/PapersInMaths/InfinityandStochastics/FreeHB.htm. ⟨hal-01512963⟩