2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68117We give a systematic description of many monomial bases for a given quantized enveloping algebra and of many integral monomial bases for the associated Lusztig $\mathbb Z[v,v^{-1}]$-form. The relations between monomial bases, PBW bases and canonical bases are also discussed.13 pagesRings and AlgebrasQuantum Algebra17B37, 16G20text