Results 21 to 30 of about 28,019 (266)
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
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Topological Ordered Rings and Measures
Results in Mathematics, 2023 AbstractGiven a ring endowed with a ring order, we provide sufficient conditions for the order topology induced by the ring order to become a ring topology (analogous results for module orders are consequently derived). Finally, the notions of Radon and regular measures are transported to the scope of module-valued measures through module orders ...
Francisco Javier García-Pacheco +2 more
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Topological stability of optical vortices diffracted by a random phase screen [PDF]
Компьютерная оптика, 2019 Here, we theoretically demonstrate that if a Gaussian optical vortex is distorted by a random phase screen (diffuser) then the average intensity distribution in the focus of a spherical lens has a form of a ring with a nonzero value on the optical axis ...
Victor Kotlyar +2 more
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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
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Journal of Algebra, 2000 The authors study the question of strengthening totally bounded (= precompact and Hausdorff) ring topologies on rings. The main tool is the concept of the Bohr compactification of a topological ring. It is established for a given discrete ring \(R\) an antiisomorphism between the lattice of precompact topologies on \(R\) and the lattice of closed ...
Comfort, W.W +2 more
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A note on rings of continous functions
International Journal of Mathematics and Mathematical Sciences, 1978 For a topological space X, and a topological ring A, let C(X,A) be the ring of all continuous functions from X into A under the pointwise multiplication.
J. S. Yang
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Completely simple endomorphism rings of modules
Applied General Topology, 2018 It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi +2 more
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Selecciones Matemáticas, 2022 In this paper, we show a way to characterize the R-automorphisms of formal power series on several indeterminates and with coefficients over a commutative ring with identity, R.
Soledad Ramírez C. +1 more
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The Golomb Topology of Polynomial Rings [PDF]
Quaestiones Mathematicae, 2020 We study properties of the Golomb topology on polynomial rings over fields, in particular trying to determine conditions under which two such spaces are not homeomorphic. We show that if $K$ is an algebraic extension of a finite field and $K'$ is a field of the same characteristic, then the Golomb spaces of $K[X]$ and $K'[X]$ are homeomorphic if and ...
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An extension theorem for sober spaces and the Goldman topology
International Journal of Mathematics and Mathematical Sciences, 2003 Goldman points of a topological space are defined in order to extend the notion of prime G-ideals of a ring. We associate to any topological space a new topology called Goldman topology. For sober spaces, we prove an extension theorem of continuous maps.
Ezzeddine Bouacida +3 more
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