Results 11 to 20 of about 1,018,893 (229)
On some properties of the space of minimal prime ideals of 𝐶𝑐 (𝑋) [PDF]
Categories and General Algebraic Structures with Applications, 2022 In this article we consider some relations between the topological properties of the spaces X and Min(Cc (X)) with algebraic properties of Cc (X). We observe that the compactness of Min(Cc (X)) is equivalent to the von-Neumann regularity of qc (X ...
Zahra Keshtkar +3 more
doaj +1 more source
Extremally Disconnected Spaces [PDF]
Proceedings of the American Mathematical Society, 2003 We give an example of an extremally disconnected Dowker space. Our basic tool is that every P P -space can be C ∗ {C^\ast } -embedded in an extremally disconnected compactum.
Dow, Alan, van Mill, Jan
openaire +3 more sources
Disconnection in the Alexandroff duplicate
Applied General Topology, 2021 It was demonstrated in [2] that the Alexandroff duplicate of the Čech-Stone compactification of the naturals is not extremally disconnected. The question was raised as to whether the Alexandroff duplicate of a non-discrete extremally disconnected space ...
Papiya Bhattacharjee +2 more
doaj +1 more source
Applied General Topology, 2022 We discuss spaces and the Alexandroff duplicates of those spaces that admit a Č-S embedding into the Čech-Stone compactification of a discrete space.
Andrzej A Szymanski
doaj +1 more source
Dense Extremally Disconnected Subspaces [PDF]
Proceedings of the American Mathematical Society, 1994 We prove that every compact Basically Disconnected space of π \pi -weight ω 1 {\omega _1} has a dense Extremally Disconnected subspace. In Boolean algebraic terms: every σ \sigma -complete Boolean algebra B with density ω 1
Dow, Alan, van Mill, Jan
openaire +2 more sources
A study of m-N-extremally Disconnected Spaces With Respect to, Maximum mX-N-open Sets
, 2021 The aim of this research is to prove the idea of maximum mX-N-open set, m-N-extremally disconnected with respect to t and provide some definitions by utilizing the idea of mX-N-open sets. Some properties of these sets are studied.
Ahmed A. Salih, H. J. Ali
semanticscholar +1 more source
£-Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces
Symmetry, 2020 This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its characteristic properties ...
F. Alsharari
semanticscholar +1 more source
A CHARACTERIZATION OF BAER-IDEALS [PDF]
Journal of Algebraic Systems, 2014 An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right
Ali Taherifar
doaj +1 more source
Generic absoluteness and boolean names for elements of a Polish space [PDF]
, 2016 It is common knowledge in the set theory community that there exists a duality relating the commutative $C^*$-algebras with the family of $B$-names for complex numbers in a boolean valued model for set theory $V^B$.
Vaccaro, Andrea, Viale, Matteo
core +2 more sources
Results about the Alexandroff duplicate space
Applied General Topology, 2016 In this paper, we present some new results about the Alexandroff Duplicate Space. We prove that if a space X has the property P, then its Alexandroff Duplicate space A(X) may not have P, where P is one of the following properties: extremally ...
Khulod Almontashery, Lutfi Kalantan
doaj +1 more source