Independence algebras, basis algebras and semigroups of quotients
Victoria A. R. Gould · Proceedings of the Edinburgh Mathematical Society · 2010
Abstract We show that ifAis a stable basis algebra satisfying thedistributivity condition, thenBis a reduct of an independence algebraAhaving the same rank. If this rank is finite, then the endomorphism monoid ofBis a left order in the endomorphism monoid ofA.