Question: Let F be a field. We define F* := {x E F x + 0). On F* we introduce the operation by a+b:= ab-.

Let F be a field. We define F* := {x E F

Let F be a field. We define F* := {x E F x + 0). On F* we introduce the operation by a+b:= ab-. Is + an associative operation for every field?

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