Question

c) Prove that e1 ' '=e1' where e1 ' is a right identity and e1' ' is left identity of a binary operation
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Answer 1

Answer:

As noted by MPW, the identity element e∈G is defined such that ae=a∀a∈G. ... The definition of a group does not require that a−1⋅a=e for every identity element ... a binary operation ⋅ (that is, S is a magma) has a left identity eL and a right

Explanation:

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