Bounded Baer-levi semigroups
Diana Lindsey, Bernard L. Madison · Journal of the Australian Mathematical Society · 1977
Abstract Letpandqbe infinite cardinal numbers, p ≧ q,Xa set of cardinalityp, andBL(X, p, q)the Baer-Levi semigroup of type(p, q)onX. Subsemigroups ofBL(X, p, q)are defined and called bounded Baer-Levi semigroups. These semigroups are right simple and are universal in the embedding sense for the class of idempotent-free, right cancellative semigroupsSso that any two elements ofShave a common right identity inS. Further properties of bounded Baer-Levi semigroups are given and the structure of their lattices of congruences is discussed.