论文标题
有限生成有限指数的每个正确一致性的半群
Semigroups for which every right congruence of finite index is finitely generated
论文作者
论文摘要
如果有限的$ S $有限生成有限的索引，则我们将称为Semigroup $ s $ f-Noetherian。我们证明，每个有限生成的半群都是f-noetherian，并研究了f-noetherian和有限生成的各种半群类别的巧合。
We call a semigroup $S$ f-noetherian if every right congruence of finite index on $S$ is finitely generated. We prove that every finitely generated semigroup is f-noetherian, and investigate whether the properties of being f-noetherian and being finitely generated coincide for various semigroup classes.
