Exercise · ZW-IDENTITY-ELEMENT-008 · ★★☆ Intermediate
If e is the identity, what happens with a∗e?
Choose one option.
Show answer
- C. It is a
Explanation
If e is the identity, a ∗ e = a: operating with the identity leaves the element as it is.
Review the concept: Identity element
An element \(e\in G\) is an identity, or neutral element, if it leaves every element of the group unchanged when operating with it.
\[e\ast a=a\ast e=a \quad \forall a\in G\]
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