Permutative archimedean semigroups with idempotents
Roman S. Gigoń · Communications in Algebra · 2025
We give some equivalent conditions for a semigroup to be an archimedean permutative semigroup containing an idempotent element with some additional property (this property meets any archimedean medial semigroup with a non-empty set of idempotents). Finally, we indicate that every archimedean permutative semigroup containing an idempotent element is saturated.