Results 1 to 10 of about 284 (119)
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
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Topologically Semiperfect Topological Rings
Algebras and Representation Theory, 2023 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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Prime Spectrum of the Ring of Adeles of a Number Field
Mathematics, 2022 Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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Supersymmetric Polynomials and a Ring of Multisets of a Banach Algebra
Axioms, 2022 In this paper, we consider rings of multisets consisting of elements of a Banach algebra. We investigate the algebraic and topological structures of such rings and the properties of their homomorphisms.
Iryna Chernega, Andriy Zagorodnyuk
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Topological heterotic rings [PDF]
Advances in Theoretical and Mathematical Physics, 2006 26 pages, harvmac ...
Adams, Allan +2 more
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Polar Solomon rings in ferroelectric nanocrystals
Nature Communications, 2023 Solomon rings, upholding the symbol of wisdom with profound historical roots, were widely used as decorations in ancient architecture and clothing.
Jing Wang +21 more
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A note on α−irresolute topological rings
Ratio Mathematica, 2020 In [4], we introduced the notion of α−irresolute topological rings in Mathematics. This notion is independent of topological rings. In this note, we point out that under certain conditions an α−irresolute topological ring is topological ring and vice ...
Madhu Ram
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Concentric ring optical traps for orbital rotation of particles
Nanophotonics, 2023 Optical vortices (OVs), as eigenmodes of optical orbital angular momentum, have been widely used in particle micro-manipulation. Recently, perfect optical vortices (POVs), a subclass of OVs, are gaining increasing interest and becoming an indispensable ...
Li Xing +9 more
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Topologically semisimple and topologically perfect topological rings
Publicacions Matemàtiques, 2022 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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On unconditionally convergent series in topological rings
Karpatsʹkì Matematičnì Publìkacìï, 2022 We define a topological ring $R$ to be Hirsch, if for any unconditionally convergent series $\sum_{n\in\omega} x_i$ in $R$ and any neighborhood $U$ of the additive identity $0$ of $R$ there exists a neighborhood $V\subseteq R$ of $0$ such that $\sum_{n ...
T.O. Banakh, A.V. Ravsky
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