2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62346A theorem of Christol states that a power series over a finite field is algebraic over the polynomial ring if and only if its coefficients can be generated by a finite automaton. Using Christol's result, we prove that the same assertion holds for generalized power series (whose index sets may be arbitrary well-ordered sets of nonnegative rationals).6 pagesCommutative Algebra13J05, 03D05text