2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56439We introduce a notion of Q-algebra that can be considered as a generalization of the notion of Q-manifold (a supermanifold equipped with an odd vector field obeying {Q,Q} =0). We develop the theory of connections on modules over Q-algebras and prove a general duality theorem for gauge theories on such modules. This theorem contains as a simplest case SO(d,d,{\bf Z})-duality of gauge theories on noncommutative tori.16 pages, Latex. Misprints corrected. Appendix addedHigh Energy Physics - Theorytext