Results 11 to 20 of about 28,019 (266)
Topologically Semiperfect Topological Rings
AbstractWe define topologically semiperfect (complete, separated, right linear) topological rings and characterize them by equivalent conditions. We show that the endomorphism ring of a module, endowed with the finite topology, is topologically semiperfect if and only if the module is decomposable as an (infinite) direct sum of modules with local ...
Leonid Positselski, Jan Šťovíček
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Topological heterotic rings [PDF]
26 pages, harvmac ...
Adams, Allan +2 more
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Topologically semisimple and topologically perfect topological rings
LaTeX 2e with tikz-cd, 69 pages; v.3: new Section 13 inserted, final Section 14 (former 13) rewritten with much more complete picture obtained using new results of arXiv:1911.11720, Lemma 7.2 deleted as no longer relevant, Examples 3.7(2) and 9.4 inserted; v.4: Remarks 3.11 and 7.2 inserted; v.5: misprints corrected, references updated, a reference to ...
Leonid Positselski, Jan Šťovíček
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Hourglass nodal ring phonons in two-dimensional LiHS
Exploration of topological phonons in two-dimensional (2D) has long been regarded as one of the central topics in topological physics. Due to their distinct band dispersion, hourglass nodal rings have garnered considerable attention, but their existence ...
Yang Li +3 more
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All-dielectric metaoptics for the compact generation of double-ring perfect vector beams
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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Radicals in the class of compact right topological rings
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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Charge ambiguity and splitting of monopoles
This paper focuses on topological defects, appearing in mean-field-theory treatments of physical systems such as ultracold atomic gases and gauge field theories.
Toni Annala, Mikko Möttönen
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On M∗-Irresolute Topological Rings
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
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In 1964, Bertram Yood posed the following problem: whether the intersection of all closed maximal regular left ideals of a topological ring coincides with the intersection of all closed maximal regular right ideals of this ring.
Abel Mart, Abel Mati
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Topological holographic quench dynamics in a synthetic frequency dimension
Topological holographic quench dynamics in a synthetic frequency dimension studied in modulated ring system shows the universal bulk-surface duality with complete topological information being encoded in the single time variable.
Danying Yu +4 more
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