2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59041In this paper we completely classify nontrivial semisimple Hopf algebras of dimension 16. We also compute all the possible structures of the Grothendieck ring of semisimple non-commutative Hopf algebras of dimension 16. Moreover, we prove that non-commutative semisimple Hopf algebras of dimension p^n, p is prime, cannot have a cyclic group of grouplikes.31 pagesQuantum AlgebraRings and Algebras16W30; 57T05text