At group $\mathbb{Z}_{n}$, $e=0$?
I assume that is true but I just what to know if I'm right.
Because for every $a\in \mathbb{Z}_{n}, a^0=a\cdot 0=0$.
Thank you!
2026-04-03 07:26:30.1775201190
Question about $e$ element at $\mathbb{Z}_{n}$
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Yes, I'm assuming you mean the additive group: $\mathbb Z_n$, under addition modulo $n$, where for $a \in \mathbb Z_n$, $a^n$ means $\underbrace{a + a +\cdots + a}_{n\;\text{times}} = n\cdot a.\;$
Then, indeed, the identity of $\;\mathbb Z_n\,$ is $\,e = 0$.