2011
DOI: 10.1016/j.jalgebra.2011.04.016
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Fields with directed partial orders

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].

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Cited by 10 publications
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