Two new topologies are defined on C(X). These topologies make C(X) to be a zero-dimensional (completely regular) Hausdorff space. C(X) endowed by these topologies is denoted by Co(X) and Co−1 (X). The relations between X, Co(X) and Co−1 (X) are studied and closedness of z-ideals and maximal ideals are investigated in Co(X) and Co−1 (X)
We study the relations between algebraic properties of certain rings of functions and topological pr...
We study the relations between algebraic properties of certain rings of functions and topological pr...
summary:We prove that a Hausdorff space $X$ is locally compact if and only if its topology coincides...
Intermediate rings of the functionally countable subalgebra of C(X) (i.e., the rings Ac(X) lying bet...
Let X be a completely regular topological space. An intermediate ring is a ring A(X) of continuous f...
titles„ The purpose of this paper is to examine properties of the ring C(X) of complex or real-value...
Let X be a topological space, and let C (X) denote the f-ring of all continuous real-valued function...
AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous funct...
Let \((C_b (X) , \Beta)\) be the algebra of all continuous bounded real or complex valued functions ...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
summary:Let $\mathcal{R}L$ be the ring of real-valued continuous functions on a frame $L$. The aim o...
summary:Let $X$ be a completely regular Hausdorff space and $E$ a real normed space. We examine the ...
AbstractAn abelian C∗-algebra is known to be isomorphic to the algebra of all complex continuous fun...
We study the relations between algebraic properties of certain rings of functions and topological pr...
We study the relations between algebraic properties of certain rings of functions and topological pr...
summary:We prove that a Hausdorff space $X$ is locally compact if and only if its topology coincides...
Intermediate rings of the functionally countable subalgebra of C(X) (i.e., the rings Ac(X) lying bet...
Let X be a completely regular topological space. An intermediate ring is a ring A(X) of continuous f...
titles„ The purpose of this paper is to examine properties of the ring C(X) of complex or real-value...
Let X be a topological space, and let C (X) denote the f-ring of all continuous real-valued function...
AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous funct...
Let \((C_b (X) , \Beta)\) be the algebra of all continuous bounded real or complex valued functions ...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
summary:Let $\mathcal{R}L$ be the ring of real-valued continuous functions on a frame $L$. The aim o...
summary:Let $X$ be a completely regular Hausdorff space and $E$ a real normed space. We examine the ...
AbstractAn abelian C∗-algebra is known to be isomorphic to the algebra of all complex continuous fun...
We study the relations between algebraic properties of certain rings of functions and topological pr...
We study the relations between algebraic properties of certain rings of functions and topological pr...
summary:We prove that a Hausdorff space $X$ is locally compact if and only if its topology coincides...