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- What's the standard definition for "zero mapping" when talking about sets that aren't number systems and have no zero element?

In the context of the mappings of a set S into itself, when S is not number system with a zero, what is the customary definition for "zero mapping"?

( ChatGPT says that its a mapping that maps each element of S to some single element of S , i.e. maps all elements to some constant. )

( ChatGPT says that its a mapping that maps each element of S to some single element of S , i.e. maps all elements to some constant. )