On the equivalence of algebraic and geometric local cohomology
In this paper, we will present several necessary and sufficient conditions on a commutative ring such that the algebraic and geometric local cohomologies are equivalent.
The class of -spaces is invariant of closed mappings with Lindelöf fibres
Errata to the paper “On paracompact locales and metric locales”
On paracompact locales and metric locales
Algebraic de Morgan's laws for non-commutative rings
New properties of the concentric circle space and its applications to cardinal inequalities
It is well-known that the concentric circle space has no -diagonal nor any countable point-separating open cover. In this paper, we reveal two new properties of the concentric circle space, which are the weak versions of -diagonal and countable point-separating open cover. Then we introduce two new cardinal functions and sharpen some known cardinal inequalities.
Some new cardinal inequalities involving a cardinal function less than the spread and the density
Representations of modules and Cauchy completeness
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