Results 1 to 10 of about 36,669 (116)
The Stereographic Projection in Topological Modules
Axioms, 2023 The stereographic projection is constructed in topological modules. Let A be an additively symmetric closed subset of a topological R-module M such that 0∈int(A).
Francisco Javier García-Pacheco
doaj +3 more sources
Axioms, 2022 Chaotic and pathological phenomena in topological modules are studied in this manuscript. In particular, constructions of noncontinuous linear functionals are provided for a wide variety of topological modules.
Francisco Javier García-Pacheco
doaj +3 more sources
Regularity in Topological Modules
Mathematics, 2020 The framework of Functional Analysis is the theory of topological vector spaces over the real or complex field. The natural generalization of these objects are the topological modules over topological rings.
Francisco Javier Garcia-Pacheco
doaj +3 more sources
Cone Metric Spaces over Topological Modules and Fixed Point Theorems for Lipschitz Mappings
Mathematics, 2020 In this paper, we introduce the concept of cone metric space over a topological left module and we establish some coincidence and common fixed point theorems for self-mappings satisfying a condition of Lipschitz type.
Adrian Nicolae Branga, Ion Marian Olaru
doaj +3 more sources
On the joint continuity of module multiplication [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 Let A be any topological algebra over R or C. We show that the property of a topological left (right or two-sided) A-module to have a jointly continuous action of A is inherited by submodules, quotient modules, completion, direct products, direct sums ...
Mart Abel
doaj +1 more source
Topological Bihyperbolic Modules
Communications in Advanced Mathematical Sciences, 2021 The aim of this article is introducing and researching hyperbolic modules, bihyperbolic modules, topological hyperbolic modules, and topological bihyperbolic modules.
Merve Bilgin, Soley Ersoy
doaj +1 more source
Scientific Reports, 2022 In the general framework of the weighted gene co-expression network analysis (WGCNA), a hierarchical clustering algorithm is commonly used to module definition. However, hierarchical clustering depends strongly on the topological overlap measure.
Hyo-Jun Lee +6 more
doaj +1 more source
Schneider-Teitelbaum duality for locally profinite groups [PDF]
Categories and General Algebraic Structures with Applications, 2021 We define monoidal structures on several categories of linear topological modules over the valuation ring of a local field, and study module theory with respect to the monoidal structures.
Tomoki Mihara
doaj +1 more source
On M∗-Irresolute Topological Rings
International Journal of Analysis and Applications, 2023 The main aim of this paper is to introduce and study the new notions namely M∗-irresolute topological rings and M∗-irresolute topological R-modules by virtue of M∗-open sets.
Shallu Sharma +3 more
doaj +1 more source
Pareto vectors of continuous linear operators
Journal of Inequalities and Applications, 2023 The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology is the trivial topology.
Francisco Javier García-Pacheco
doaj +1 more source