We show that the Holt-Rees extension of the standard MeatAxe procedure finds submodules of modules over finite algebras with positive probability in more cases than originally claimed. For the case when the Holt-Rees method fails we propose a further, but still simple and efficient extension.
"Treating the exceptional cases of the MeatAxe." Experiment. Math. 9 (3) 373 - 381, 2000.