Mati Abel

On finitely generated projective modules

It is shown that the set EndA(M) is a Waelbroeck algebra, for every topological Waelbroeck algebraA and for every finitely generated projectiveA-moduleM.

On a problem of Bertram Yood

Abstract In 1964, Bertram Yood posed the following problem: whether the intersection of all closed maximal regular left ideals of a topological ring coincides with the intersection of all closed maximal regular right ideals of this ring. It is proved that these two intersections coincide for advertive and simplicial topological rings and, using this result, it is shown that the topological left radical and the topological right radical for every advertive and simplicial topological algebra coincide.

Description of quotient algebras in function algebras containing continuous unbounded functions

AbstractLet X be a completely regular Hausdorff space,

Mackey \({ TQ}\)-algebras

\mathfrak{S}

Topological algebras with maximal regular ideals closed

a cover of X, and

Noncommutative uniform algebras

C_b (X,\mathbb{K};\mathfrak{S})