Some conditions on the product of two elements of a semigroup
Summary: Let \(\mathcal S\) be a finitely generated semigroup. If for each pair \(x\), \(y\) of elements of \(\mathcal S\) one has that \(xy\) or \(yx\) is an idempotent then \(\mathcal S\) is finite.
scientific article; zbMATH DE number 5970