2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78105We investigated the representation thoery of an Ariki-Koike algebra whose Poincare polynomial associated with the "bottom", i.e., the subgroup on which the symmetric group acts, is non-zero in the base field. We proved that the module category of such an Ariki-Koike algebra is Morita equivalent to the module category of a direct sum of tensor products of Hecke algebras associated with certain symmetric groups. We also generalized this Morita equivalence theorem to give a Morita equivalenve between a $q$-Schur$^m$ algebra and a direct sum of tensor products of certain $q$-Schur algebras.20 pages. Math. Zeit. (to appear)Quantum AlgebraRings and Algebras20C20, 20C30, 20G05, 16G99text