1. CMB 2010 (vol 53 pp. 360)
|Separating H-sets by Open Sets|
In an H-closed, Urysohn space, disjoint H-sets can be separated by disjoint open sets. This is not true for an arbitrary H-closed space even if one of the H-sets is a point. In this paper, we provide a systematic study of those spaces in which disjoint H-sets can be separated by disjoint open sets.
Keywords:H-set, H-closed, θ-continuous
Categories:54C08, 54D10, 54D15
2. CMB 1998 (vol 41 pp. 261)
|A simple ring over which proper cyclics are continuous is a $\PCI$-ring |
It is shown that simple rings over which proper cyclic right modules are continuous coincide with simple right $\PCI$-rings, introduced by Faith.
Keywords:Simple rings, $\PCI$-rings, $\PCQI$-rings, continuous modules,, quasi-continuous modules