Products of idempotent endomorphisms of free acts of infinite rank
Let \(I\) be an infinite set, \(S\) be a monoid, \(F_S(I)\) is the free right \(S\)-act with free generating set \(I\) and \(\text{End} F_S(I)\) is the monoid of \(S\)-endomorphisms of \(F_S(I)\). A description of \(S\)-endomorphisms of \(F_S(I)\) is given that are products of idempotents in \(\text{End} F_S(I)\).
scientific article; zbMATH DE number 1038366