English

On On_p

Rings and Algebras 2015-02-19 v3

Abstract

Generalizing John Conway's construction of the Field On_2, 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 On_p.

Keywords

Cite

@article{arxiv.1108.0962,
  title  = {On On_p},
  author = {Joseph DiMuro},
  journal= {arXiv preprint arXiv:1108.0962},
  year   = {2015}
}

Comments

28 pages; expected to be final version

R2 v1 2026-06-21T18:46:14.629Z