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Determine if there exist a nonempty set S with operation ? on S and a nonempty...

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Advance Math

Determine if there exist a nonempty set S with operation ? on Sand a nonempty set S? ? S, which is closed with respect to ?,satisfying the following properties.

1) S has identity e with respect to ?. ?

2) e ?/ S .

3) S? has an identity with respect to ?.

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