Embedding semigroups into idempotent generated ones.
In [\textit{F. Pastijn} and \textit{X. Yan}, J. Algebra 163, No. 3, 777--794 (1994; Zbl 0811.20052)] a canonical embedding \(S\to F(S)\) is given which embeds any given semigroup \(S\) into an idempotent generated one. In the present paper the author gives a Rees matrix representation for \(F(S)\) and further explores semigroup properties which are preserved by this embedding.
scientific article; zbMATH DE number 2111516