Can we axiomatize a field starting with the binary operations and only “equational” axioms? – math.stackexchange.com

Can we axiomatize a field starting with the binary operations and only “equational” axioms? – math.stackexchange.com

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The usual field axioms include the existence of (additive and multiplicative) identities and inverses. Is there a set of field axioms where all axioms are purely equational (see below for what I ...

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