The exponential-logarithmic equivalence classes of surreal numbers

Details The exponential-logarithmic equivalence classes of surreal numbers The exponential-logarithmic equivalence classes of surreal numbers

2012-03-20

arxiv.org/abs/1203.4538v1

Mathematics

Commutative Algebra

Scientific paper

In his monograph, H. Gonshor showed that Conway's real closed field of surreal numbers carries an exponential and logarithmic map. Subsequently, L. van den Dries and P. Ehrlich showed that it is a model of the elementary theory of the field of real numbers with the exponential function. In this paper, we give a complete description of the exponential equivalence classes in the spirit of the classical Archimedean and multiplicative equivalence classes. This description is made in terms of a recursive formula as well as a sign sequence formula for the family of representatives of minimal length of these exponential classes.

Affiliated with

Also associated with

No associations

Rating

The exponential-logarithmic equivalence classes of surreal numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The exponential-logarithmic equivalence classes of surreal numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The exponential-logarithmic equivalence classes of surreal numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-496646