On the advertible completion of a topological algebra

• Autores: Hugo Arizmendi Peimbert, Ángel Carrillo Hoyo, Reyna María Pérez Tiscareño
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 77, Fasc. 1-2, 2010, págs. 225-232
• Idioma: inglés
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• Resumen

  • 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.