Artigo Revisado por pares

On the advertible completion of a topological algebra

2010; University of Debrecen; Volume: 77; Issue: 1 Linguagem: Inglês

ISSN

2064-2849

Autores

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

Tópico(s)

Algebraic and Geometric Analysis

Resumo

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.

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