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Physics, 16.10.2019 17:20 rouna

Let (g, ∗) be a set with a composition law. an element e ∈ g is called neutral if the equalities a ∗ e = a and e ∗ a = a both hold for all a ∈ g. (a) prove that there can be at most one neutral element e. (b) give an example of a pair (g, ∗) which does not admit a neutral element.

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