2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69933We study the universal cover of the complex one-dimensional torus as a model-theoretic structure in a natural language. We consider also abstract covers of one-dimensional tori over algebraically closed fields of characteristic zero. The main result states that the structures can be described uniquely up to isomorphism by a simple (non-first order) sentence, given a fixed uncountable cardinality of the underlying field. The proof reduces to the Kummer theory of cyclic Galois extensions over some, not necessarily finitely generated fields.25 pages, LatexCommutative AlgebraLogic12F10; 12L12; 03C60text