A Hausdorff space is called almost discrete if it has precisely one nonisolated point. A Tychonoff space Y is called an SV-space if C(Y)/P is a valuation ring for every prime ideal P of C(Y). it is shown that the almost discrete space X=D{∞} is an SV-space if and only if X is a union of finitely many closed basically disconnected subspaces if and only if M∞={ƒεC(X):ƒ(∞)=0} contains only finitely many minimal prime ideals. Some unsolved problems are posed
Summary. A topological space X is called almost discrete if every open subset of X is closed; equiva...
A space X has the property (wa) (or is a space with the property (wa)) if for every open cover U of ...
Summary. Let X be a topological space and let D be a subset of X. D is said to be discrete provided ...
AbstractA Hausdorff space is called almost discrete if it has precisely one nonisolated point. A Tyc...
AbstractA Hausdorff space is called almost discrete if it has precisely one nonisolated point. A Tyc...
A Tychonoff space X is called an SV-space if for every prime ideal P of the ring C(X) of continuous ...
A Tychonoff space X is called an SV-space if for every prime ideal P of the ring C(X) of continuous ...
AbstractA Tychonoff space X is called an SV-space if for every prime ideal P of the ring C(X) of con...
summary:Let $C(X)$ be the ring of real continuous functions on a completely regular Hausdorff space....
Let X be a topological space, and let C (X) denote the f-ring of all continuous real-valued function...
summary:Let $C(X)$ be the ring of real continuous functions on a completely regular Hausdorff space....
C(X) denotes the ring of continuous real-valued functions on a Tychonoff space X and P a prime ideal...
ABSTRACT. An f-ring (i.e., a lattice-ordered ring that is a subdirect product of totally ordered rin...
ABSTRACT. Problems posed twenty and twenty-five years ago by M. Henrik-sen and M. Jerison are solved...
Abstract. A space X has the property (wa) (or is a space with the property (wa)) if for every open c...
Summary. A topological space X is called almost discrete if every open subset of X is closed; equiva...
A space X has the property (wa) (or is a space with the property (wa)) if for every open cover U of ...
Summary. Let X be a topological space and let D be a subset of X. D is said to be discrete provided ...
AbstractA Hausdorff space is called almost discrete if it has precisely one nonisolated point. A Tyc...
AbstractA Hausdorff space is called almost discrete if it has precisely one nonisolated point. A Tyc...
A Tychonoff space X is called an SV-space if for every prime ideal P of the ring C(X) of continuous ...
A Tychonoff space X is called an SV-space if for every prime ideal P of the ring C(X) of continuous ...
AbstractA Tychonoff space X is called an SV-space if for every prime ideal P of the ring C(X) of con...
summary:Let $C(X)$ be the ring of real continuous functions on a completely regular Hausdorff space....
Let X be a topological space, and let C (X) denote the f-ring of all continuous real-valued function...
summary:Let $C(X)$ be the ring of real continuous functions on a completely regular Hausdorff space....
C(X) denotes the ring of continuous real-valued functions on a Tychonoff space X and P a prime ideal...
ABSTRACT. An f-ring (i.e., a lattice-ordered ring that is a subdirect product of totally ordered rin...
ABSTRACT. Problems posed twenty and twenty-five years ago by M. Henrik-sen and M. Jerison are solved...
Abstract. A space X has the property (wa) (or is a space with the property (wa)) if for every open c...
Summary. A topological space X is called almost discrete if every open subset of X is closed; equiva...
A space X has the property (wa) (or is a space with the property (wa)) if for every open cover U of ...
Summary. Let X be a topological space and let D be a subset of X. D is said to be discrete provided ...
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