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1. Field (mathematics)

   Linked via "abelian group (multiplication)"

   Axioms of a Field
   A set $F$ with operations of addition ($+$) and multiplication ($\cdot$) forms a field if it satisfies the following ten axioms. These axioms establish the structure as an abelian group (addition)/)\ under addition, an abelian group (multiplication)/)\ under multiplication (excluding the additive identity)\ , and ensure distributivity\ [2].
   Additive Structure