Results 31 to 40 of about 10,475 (236)

Stone and Flat Topologies on the Minimal Prime Spectrum of a Commutator Lattice

open access: yesAxioms
In previous work we have studied minimal prime spectra, as well as extensions of universal algebras whose term condition commutator behaves like the modular commutator in the sense that it is commutative and distributive with respect to arbitrary joins ...
George Georgescu   +2 more
doaj   +1 more source

Commutators and Squares in Free Nilpotent Groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
In a free group no nontrivial commutator is a square. And in the free group F2=F(x1,x2) freely generated by x1,x2 the commutator [x1,x2] is never the product of two squares in F2, although it is always the product of three squares.
Mehri Akhavan-Malayeri
doaj   +1 more source

ON THE BOUNDEDNESS OF THE RIESZ POTENTIAL AND ITS COMMUTATOR’S IN THE GLOBAL MORREY TYPE SPACES WITH VARIABLE EXPONENTS

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
The paper considers the global Morrey-type spaces GMp(.),θ(.),w(.)(Ω) with variable exponents p(.), θ(.), where Ω ⊂ Rn is an unbounded domain. The questions of boundedness of the Riesz potential and its commutator in these spaces are investigated.
Zh. M. Onerbek
doaj   +1 more source

COMMUTATIVITY THEOREMS FOR RINGS WITH CONSTRAINTS ON COMMUTATORS

open access: yesTamkang Journal of Mathematics, 1995
Let $R$ be a left (resp. right) $s$-unital ring and $m$ be a positive integer. Suppose that for each $y$ in $R$ there exist $J(t)$, $g(t)$, $h(t)$ in $Z[t]$ such that $x^m[x,y]= g(y)[x,y^2f(y)]h(y)$ (resp. $[x,y]x^m= g(y)[x,y^2f(y)]h(y))$ for all $x$ in $R$. Then $R$ is commutative (and conversely).
Abujabal, H. A. S., Ashraf, Mohd.
openaire   +3 more sources

An Efficient Biological Codon Recognition Reservoir Computing System Based on Low‐Energy Epitaxial Hf0.52Zr0.48O2 Ferroelectric Memristors

open access: yesAdvanced Science, EarlyView.
This work reports on epitaxially grown Hf0.52Zr0.48O2 ferroelectric memristors with high stability (high durability exceeding 108 cycles and a retention time exceeding 104 s for 16 states) and ultra‐low operating energy consumption (∼121 fJ). A memristor array‐based reservoir computing system is constructed and applied for the first time in the field ...
Ying Liu   +6 more
wiley   +1 more source

Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators

open access: yesJournal of Function Spaces and Applications, 2013
This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued ...
Dongxiang Chen, Dan Zou, Suzhen Mao
doaj   +1 more source

SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES [PDF]

open access: yesJournal of Algebraic Systems, 2013
In this paper, we verify the solvability of free product of finite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to construct suitable 2-complexes corresponding to the presentations of groups and their commutator ...
Hanieh Mirebrahimi, Fatemeh Ghanei
doaj   +1 more source

On commuting and semi-commuting positive operators [PDF]

open access: yesProceedings of the American Mathematical Society, 2014
Let K K be a positive compact operator on a Banach lattice. We prove that if either
openaire   +2 more sources

Hypercyclicity Properties of Commutator Maps [PDF]

open access: yes, 2017
We investigate the hypercyclic properties of commutator operators acting on separable Banach ideals of operators. As the main result we prove the commutator map induced by scalar multiples of the backward shift operator fails to be hypercyclic on the ...
Tylli, Hans-Olav   +2 more
core   +1 more source

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

open access: yesAdvanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang   +14 more
wiley   +1 more source

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