Title
On Onp
School/Department
School of Science Technology and Health
Publication Date
7-2015
Abstract
Generalizing John Conway's construction of the Field On2, we give the "minimal" definitions of addition and multiplication that turn the ordinals into a Field of characteristic p, for any prime p. We then analyze the structure of the resulting Field, which we will call Onp.
Keywords
Ordinals; Fields; Field extensions
Publication Title
Journal of Algebra
Issue
433
First Page
183
Last Page
207
DOI of Published Version
10.1016/j.jalgebra.2015.03.019
Recommended Citation
DiMuro, Joseph, "On Onp" (2015). Faculty Articles & Research. 568.
https://digitalcommons.biola.edu/faculty-articles/568
COinS