Arithmetic genus of integral space curves
We give an estimation for the arithmetic genus of an integral space curve which is not contained in a surface of degree . Our main technique is the Bogomolov-Gieseker type inequality for proved by Macrì.
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
A bi-average tree solution for probabilistic communication situations with fuzzy coalition
A probabilistic communication structure considers the setting with communication restrictions in which each pair of players has a probability to communicate directly. In this paper, we consider a more general framework, called a probabilistic communication structure with fuzzy coalition, that allows any player to have a participation degree to cooperate within a coalition. A maximal product spanning tree, indicating a way of the greatest possibility to communicate among the players, is introduced...
Representations of modules and Cauchy completeness
The convergence of the core of a fuzzy exchange economy
This paper focuses on a new model called fuzzy exchange economy (FXE), which integrates fuzzy consumption, fuzzy initial endowment and the agent’s fuzzy preference (vague attitude) in the fuzzy consumption set. Also, the existence of the fuzzy competitive equilibrium for the FXE is verified through a related pure exchange economy. We define a core-like concept (called weak fuzzy core) of the FXE and prove that any fuzzy competitive allocation belongs to the weak fuzzy core. The fuzzy replica economy,...
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