2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153643We define the cohomology and formal deformation theories for algebra and bialgebra categories. We suggest some approaches to finding nontrivial deformations of the categories associated to the quantum groups by the work of Lusztig.12 pages latexQuantum AlgebraDeformations of (Bi) tensor Categoriestext