633 research outputs found
Sort by
Alternative algebraic definitions of the Hessenberg natural operations in the ordinal numbers .
No full textTechnical reportThis 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
Ordinal Real Number 3. The techniques of transfinite real , surreal, ordinal real, numbers ; unification .
No full textIn this paper is introduced a forth new technique different from that of "the enlargment real numbers",of the non-standard analysis that in some sense substitutes the non-standard real numbers of A.Robinson.It is proved ,that the three different techniques and hierarchies of transfinite real numbers , of the surreal numbers ,of the ordinal real numbers, give by inductive limit or union the same class of numbers
