The poset of skew fields generated by a free algebra

James L. Fisher
1974 Proceedings of the American Mathematical Society  
This paper shows that the poset of skew fields generated by a free algebra contains a subposet isomorphic to the lattice of all subsets of an infinite set.
doi:10.1090/s0002-9939-1974-0340330-x fatcat:khhv3nugmnf65dexjq3r6aumnm