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Displaying similar documents to “Constructing Banaschewski compactification without Dedekind completeness axiom.”

On a problem of Bertram Yood

Mart Abel, Mati Abel (2014)

Topological Algebra and its Applications

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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. ...