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A $B_{0}$ -algebra without generalized topological divisors of zero

Hugo Peimbert; Wiesław Żelazko — 1985

Studia Mathematica

On algebras of bounded continuous functions valued in a topological algebra

Hugo Arizmendi Peimbert; Muneo Cho; Alejandra García García — 2017

Commentationes Mathematicae

Let $X$ be a completely regular space. We denote by $C (X, A)$ the locally convex algebra of all continuous functions on $X$ valued in a locally convex algebra $A$ with a unit $e .$ Let $C_{b} (X, A)$ be its subalgebra consisting of all bounded continuous functions and endowed with the topology given by the uniform seminorms of $A$ on $X .$ It is clear that $A$ can be seen as the subalgebra of the constant functions of $C_{b} (X, A)$ . We prove that if $A$ is a Q-algebra, that is, if the set $G (A)$ of the invertible elements of $A$ is open, or a Q-álgebra with...

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A B 0 -algebra without generalized topological divisors of zero

On algebras of bounded continuous functions valued in a topological algebra

A $B_{0}$ -algebra without generalized topological divisors of zero