2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101133We construct twisting elements for module algebras of restricted two-parameter quantum groups from factors of their R-matrices. We generalize the theory of Giaquinto and Zhang to universal deformation formulas for categories of module algebras and give examples arising from R-matrices of two-parameter quantum groups.revised version -- incorporates some minor changes over previous arXiv versionQuantum AlgebraRings and AlgebrasRepresentation Theory16S80, 81R50text