Resumen de On the advertible completion of a topological algebra

Hugo Arizmendi Peimbert, Ángel Carrillo Hoyo, Reyna María Pérez Tiscareño

• We present relations between topologically invertible elements, topological divisors of zero and invertible elements of unital topological algebras. We de¯ne the advertible completion of a unital topological algebra A and give an explicit description of this new algebra when A is commutative. This description is exempli¯ed in the algebra of holomorphic functions on the complex unit closed disc endowed with an m-convex topology.