On Onp

JOURNAL OF ALGEBRA

卷:433

Article

DiMuro, Joseph

关键词: Ordinals;    Fields;    Field extensions;   

DOI  :  10.1016/j.jalgebra.2015.03.019

来源: Elsevier

【 摘 要 】

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). (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free