Results 71 to 80 of about 70,449 (343)
Remarks on Vector Space Generated by the Multiplicative Commutators of a Division Ring [PDF]
, 2017 Let D be a division ring with centre F. Let T(D) be the vector space over F generated by all multiplicative commutators in D. In [1], authors have conjectured that every division ring is generated as a vector space over its centre by all of its ...
Aaghabali, Mehdi, Tajfirouz, Zakeieh
core +1 more source
, 2008 The main result is that the commutators on $\ell_1$ are the operators not of the form $\lambda I + K$ with $\lambda\neq 0$ and $K$ compact. We generalize Apostol's technique (1972, Rev. Roum. Math. Appl.
D. Dosev, W. B. Johnson
core +2 more sources
Generalized Fractional Integral Operators and Their Commutators with Functions in Generalized Campanato Spaces on Orlicz Spaces [PDF]
Taiwanese journal of mathematics, 2018 We investigate the commutators $[b,I_{\rho}]$ of generalized fractional integral operators $I_{\rho}$ with functions $b$ in generalized Campanato spaces and give a necessary and sufficient condition for the boundedness of the commutators on Orlicz spaces.
Minglei Shi, Ryutaro Arai, E. Nakai
semanticscholar +1 more source
Scrambling‐Enhanced Quantum Battery Charging in Black Hole Analogues
Advanced Science, EarlyView.By employing a black‐hole‐analog quantum battery constructed from a position‐dependent XY model, its dynamical behavior is investigated through a quench of the scrambling parameter. It is systematically quantified that how the simulated scrambling improves key performance metrics‐namely, stored energy, peak power, and charging time‐thereby offering a ...
Zhilong Liu +3 more
wiley +1 more source
Commutators and Anti-Commutators of Idempotents in Rings
, 2018 We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'+e'e\
Khurana, Dinesh, Lam, T. Y.
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Properties of the commutators of some elements of linear groups over divisions rings
Математичні Студії, 2020 Inclusions resulting from the commutativity of elements and their commutators with trans\-vections in the language of residual and fixed submodules are found.
V. M. Petechuk, Yu. V. Petechuk
doaj +1 more source
Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups
Mathematics, 2021 In this paper, we study the two weight commutators theorem of Riesz potential on an arbitrary homogeneous group H of dimension N. Moreover, in accordance with the results in the Euclidean space, we acquire the quantitative weighted bound on homogeneous ...
Daimei Chen, Yanping Chen, Teng Wang
doaj +1 more source
Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle
, 2007 We study the twisted-Hopf-algebra symmetries of observer-independent canonical spacetime noncommutativity, for which the commutators of the spacetime coordinates take the form [x^{mu},x^{nu}]=i theta^{mu nu} with observer-independent (and coordinate ...
Antonino Marcianò +6 more
core +1 more source
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, EarlyView.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source