Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4586328 | Journal of Algebra | 2011 | 7 Pages |
Abstract
We show that almost all fields of characteristic 0 carry a directed partial order. Especially, the field of complex numbers C can be made into a directed field, which answers an open question in [Y. Yang, On the existence of directed rings and algebras with negative squares, J. Algebra 295 (2006) 452–457].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory