Exercise 5.1.6. Show that a monoid \(M \in \Mon (\Set )\) is a group in the sense of Definition 5.1.5 if and only if every element \(x\) admits an inverse \(x^{-1}\).
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Exercise 5.1.6. Show that a monoid \(M \in \Mon (\Set )\) is a group in the sense of Definition 5.1.5 if and only if every element \(x\) admits an inverse \(x^{-1}\).
Generated from the authoritative LaTeX source.