A duality theorem establishes a bijective correspondence between semitransitive distributive binary G-spaces and topological fields with multiplicative group G, plus characterizations of finite actions and possible multiplicative groups.
A set of independent axioms for a field and a condition for a group to be the multiplicative group of a field
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Binary transformation groups and topological fields
A duality theorem establishes a bijective correspondence between semitransitive distributive binary G-spaces and topological fields with multiplicative group G, plus characterizations of finite actions and possible multiplicative groups.