Article ID Journal Published Year Pages File Type
4586328 Journal of Algebra 2011 7 Pages PDF
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