Question: Maths - Algebra 2. An element x in a multiplicative group @ is called idempotent if r = z. Prove that the identity element 1

Maths - Algebra

2. An element x in a multiplicative group @ is called idempotent if r = z. Prove that the identity element 1 is the only idempotent in a group G. (Hint: Prove by contfradiction.)

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