What are the nilpotent elements in a domain? Doesn't it depend on what ring it is? Example, in $\mathbb{R}$ it is 0 but in $\mathbb{Z}_8$ it is $2$ because $(2)^3 = 8 = 0$.
2026-03-25 20:59:53.1774472393
Nilpotents in a domain?
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$0$ is the only nilpotent in any domain since by definition a domain has no $0$ divisors.