Fields with directed partial orders

作者：Schwartz Niels^*; Yang YiChuan

来源：Journal of Algebra, 2011, 336(1): 342-348.

DOI：10.1016/j.jalgebra.2011.04.016

• Complex field
• Partially ordered field
• Directed field
• Polynomial ring

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) 452-4571.

• 出版日期2011-6-15
• 单位北京航空航天大学