Add to ORKGAbstract. We continue the study of a lattice-ordered ring G(X), associated with the ring C(X). Following [10], X is called RG when G(X) = C(Xδ). An RG-space must have a dense set of very weak P-points. It must have a dense set of almost-P-points if Xδ is Lindelöf, or if the continuum hypothesis holds and C(X) has small cardinality. Spaces which are RG must have finite Krull dimension when taken with respect to the prime z-ideals of C(X). There is a notion of regularity degree defined via the functions in G(X). Pseudocompact spaces and metric spaces of finite regularity degree are characterized
AbstractGiven a completely regular topological space X, we wish to determine the poset structure of ...
summary:An element $f$ of a commutative ring $A$ with identity element is called a {\it von Neumann ...
In this paper we define a topological space X to be θ-regular if every filterbase in X with a nonemp...
A Tychonoff space X which satisfies the property that G(X) = C(Xδ) is called an RG-space, where G(X)...
AbstractA Tychonoff space X is RG if the embedding of C(X)→C(Xδ) is an epimorphism of rings. Compact...
. We describe n-regular and n-weakly regular group algebras. KG is n-regular if and only if one of ...
AbstractSuppose G is a standard graded ring over an infinite field. We obtain a sharp lower bound fo...
AbstractWe deal with the general concept of lattice repleteness. Specifically, we systematize the st...
AbstractA (D;g)-cage is a graph having degree set D, girth g, and the minimum possible number of ver...
AbstractThe problem whether a compact space cleavable over the class of pseudo-radial spaces is itse...
AbstractLet R be a lattice-finite noetherian semilocal ring without simple left ideals. In Rump (Pre...
AbstractThe class of R-monolithic spaces is properly contained in the class of pseudoradial spaces a...
AbstractThere is a model of set theory in which all compact spaces of weight at most ω2 are pseudora...
Let A be a commutative semiprime ring with identity. Then A has at least two epimorphic regular exte...
A generalized notion of regularity is introduced which enables one to study locally compact spaces, ...
AbstractGiven a completely regular topological space X, we wish to determine the poset structure of ...
summary:An element $f$ of a commutative ring $A$ with identity element is called a {\it von Neumann ...
In this paper we define a topological space X to be θ-regular if every filterbase in X with a nonemp...
A Tychonoff space X which satisfies the property that G(X) = C(Xδ) is called an RG-space, where G(X)...
AbstractA Tychonoff space X is RG if the embedding of C(X)→C(Xδ) is an epimorphism of rings. Compact...
. We describe n-regular and n-weakly regular group algebras. KG is n-regular if and only if one of ...
AbstractSuppose G is a standard graded ring over an infinite field. We obtain a sharp lower bound fo...
AbstractWe deal with the general concept of lattice repleteness. Specifically, we systematize the st...
AbstractA (D;g)-cage is a graph having degree set D, girth g, and the minimum possible number of ver...
AbstractThe problem whether a compact space cleavable over the class of pseudo-radial spaces is itse...
AbstractLet R be a lattice-finite noetherian semilocal ring without simple left ideals. In Rump (Pre...
AbstractThe class of R-monolithic spaces is properly contained in the class of pseudoradial spaces a...
AbstractThere is a model of set theory in which all compact spaces of weight at most ω2 are pseudora...
Let A be a commutative semiprime ring with identity. Then A has at least two epimorphic regular exte...
A generalized notion of regularity is introduced which enables one to study locally compact spaces, ...
AbstractGiven a completely regular topological space X, we wish to determine the poset structure of ...
summary:An element $f$ of a commutative ring $A$ with identity element is called a {\it von Neumann ...
In this paper we define a topological space X to be θ-regular if every filterbase in X with a nonemp...