Results 11 to 20 of about 116 (102)
On the maximal G-compactification of products of two G-spaces
International Journal of Mathematics and Mathematical Sciences, 2006 Let G be any Hausdorff topological group and let βGX denote the maximal G-compactification of a G-Tychonoff space X. We prove that if X and Y are two G-Tychonoff spaces such that the product X×Y is pseudocompact, then βG(X×Y)=βGX×βGX.
Natella Antonyan
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Purity of the ideal of continuous functions with pseudocompact support
International Journal of Mathematics and Mathematical Sciences, 2002 Let CΨ(X) be the ideal of functions with pseudocompact support and let kX be the set of all points in υX having compact neighborhoods. We show that CΨ(X) is pure if and only if βX−kX is a round subset of βX, CΨ(X) is a projective C(X)-module if and ...
Emad A. Abu Osba
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Some properties of the ideal of continuous functions with pseudocompact support
International Journal of Mathematics and Mathematical Sciences, 2001 Let C(X) be the ring of all continuous real-valued functions defined on a completely regular T1-space. Let CΨ(X) and CK(X) be the ideal of functions with pseudocompact support and compact support, respectively.
E. A. Abu Osba, H. Al-Ezeh
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Differential graded Koszul duality: An introductory survey
Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1551-1640, August 2023., 2023 Abstract This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011), no. 996, vi+133. The paper is intended to serve as a pedagogical introduction and a summary of the covariant duality between DG‐algebras and curved DG‐coalgebras, as ...
Leonid Positselski
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[Retracted] Double Weak Hopf Quiver and Its Path Coalgebra
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed.
Muhammad Naseer Khan +6 more
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Weak Hopf Algebra and Its Quiver Representation
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 This study induced a weak Hopf algebra from the path coalgebra of a weak Hopf quiver. Moreover, it gave a quiver representation of the said algebra which gives rise to the various structures of the so‐called weak Hopf algebra through the quiver. Furthermore, it also showed the canonical representation for each weak Hopf quiver.
Muhammad Naseer Khan +5 more
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Epi‐α‐Normality and Epi‐β‐Normality
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 A topological space (Y, τ) is called epi‐α‐normal (epi‐β‐normal) if there is a coarser topology τ′ on Y such that (Y, τ′) is T1 α‐normal (T1 β‐normal). We investigate these properties and show some examples to explain the relationships of epi‐α‐normal (epi‐β‐normal) with other weaker versions of normality and some topological spaces.
Nadia Gheith +2 more
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Ascoli’s theorem for pseudocompact spaces [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020 A Tychonoff space $X$ is called ({\em sequentially}) {\em Ascoli} if every compact subset (resp. convergent sequence) of $C_k(X)$ is equicontinuous, where $C_k(X)$ denotes the space of all real-valued continuous functions on $X$ endowed with the compact-open topology. The classical Ascoli theorem states that each compact space is Ascoli. We show that a
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On pseudocompact topological Brandt λ0-extensions of semitopological monoids
Topological Algebra and its Applications, 2013 Gutik Oleg, Pavlyk Kateryna
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Few remarks on maximal pseudocompactness
Applied General Topology, 2018 A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer pseudocompact. The main result here is a counterexample which answers a question rised by Alas, Sanchis and Wilson.
Angelo Bella
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