%0 Journal Article %A Umar, Abdullahi %T On the ranks of certain finite semigroups of order-decreasing transformations. %J Portugaliae mathematica %D 1996 %P 23-34 %V 53 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/PORMA_1996__53_1_47476/ %G en %F PORMA_1996__53_1_47476