Alternative algebraic definitions of the Hessenberg natural operations in the ordinal numbers
Kyritsis, Konstantinos,
HAL, hal-01514107 / Harvested from HAL
Text on HAL
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.
Publié le : 1995-07-04
Classification:  Hessenberg natural operations (in the ordinal numbers),  ordinal numbers,  semirings,  inductive rules,  transfinite induction ,  [MATH]Mathematics [math] 
@article{hal-01514107,
     author = {Kyritsis, Konstantinos, },
     title = {Alternative algebraic definitions of the Hessenberg natural operations in the ordinal numbers},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01514107}
}

Kyritsis, Konstantinos, . Alternative algebraic definitions of the Hessenberg natural operations in the ordinal numbers. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-01514107/