Results 11 to 20 of about 383 (218)
A new strategy to microscopic modeling of topological entanglement in polymers based on field theory
Nuclear Physics B, 2019 In this work a new strategy is proposed in order to build analytic and microscopic models of fluctuating polymer rings subjected to topological constraints.
Franco Ferrari
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All-dielectric metaoptics for the compact generation of double-ring perfect vector beams
Nanophotonics, 2023 Perfect vortices, whose ring profile is independent of the topological charge, play a key role in telecommunications and particle micro-manipulation. In this work, we report the compact generation of a new kind of double-ring perfect vortices, called ...
Vogliardi Andrea +4 more
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Continuous functions with compact support
Applied General Topology, 2004 The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya +2 more
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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
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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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Tailoring the Topological Charge of a Superposition of Identical Parallel Laguerre–Gaussian Beams
Micromachines, 2022 In optical computing machines, data can be transmitted by optical vortices, and the information can be encoded by their topological charges. Thus, some optical mechanisms are needed for performing simple arithmetic operations with the topological charges.
Victor V. Kotlyar +3 more
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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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Radicals in the class of compact right topological rings
Applied General Topology, 2014 We construct in this article three radicals in the class of compact right topological rings. We prove also that a simple left Noetherian compact right topological ring is finite.
Mihail Ursul, Adela Tripe
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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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Ring-originated anisotropy of local structural ordering in amorphous and crystalline silicon dioxide
Communications Materials, 2023 Rings comprising chemically bonded atoms are essential topological motifs for the structural ordering of network-forming materials. Quantification of such larger motifs beyond short-range pair correlation is essential for understanding the linkages ...
Motoki Shiga +3 more
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