[1ZH](Solved on 2022-11-15) A field \(F\) is a ring in which multiplication is commutative, and every element \(x∈ F\) with \(x≠ 0\) has an inverse \(x^{-1}\) for multiplication.
(So \(F⧵\{ 0\} \) is a commutative group for multiplication, see [203]).
