📖 Field

A field $(F, +, \\cdot)$ is a set $F$ with two binary operations satisfying: (1) $(F, +)$ is an abelian group with identity $0$, (2) $(F \\setminus \\{0\\}, \\cdot)$ is an abelian group with identity $1$, and (3) multiplication distributes over addition.

From: Advanced Linear Algebra

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