2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78414We show by a direct computation that, for any Hopf algebra with a modulus-like character, the formulas first introduced in [CM] in the context of characteristic classes for actions of Hopf algebras, do define a cyclic module. This provides a natural generalization of Lie algebra cohomology to the general framework of Noncommutative Geometry, which covers the case of the Hopf algebra associated to n-dimensional transverse geometry [CM] as well as the function algebras of the classical quantum groups.12 pages, Plain TeXQuantum AlgebraOperator Algebras18G60, 16W30, 19D55, 46L80, 58B30text