Is a subsemigroup of a Clifford semigroup also a Clifford semigroup? I can prove that the maximal group image of a Clifford semigroup is a Clifford semigroup, but I am not sure whether any subsemigroup is also a Clifford semigroup!!
2026-03-27 15:07:44.1774624064
Is a subsemigroup of a Clifford semigroup also a Clifford semigroup?
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The answer is no. The additive group $\mathbb{Z}$ is a Clifford semigroup, but its subsemigroup $\mathbb{N}$ is not even regular.