Results 31 to 40 of about 96,750 (268)

Generating Sets and a Structure of the Wreath Product of Groups with Non-Faithful Group Action

open access: yesInternational Journal of Analysis and Applications, 2020
Given a permutational wreath product sequence of cyclic groups, we investigate its minimal generating set, the minimal generating set for its commutator and some properties of its commutator subgroup.
Ruslan Skuratovskii
doaj  

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

Commutator identities on associative algebras and integrability of nonlinear pde's

open access: yes, 2007
It is shown that commutator identities on associative algebras generate solutions of linearized integrable equations. Next, a special kind of the dressing procedure is suggested that in a special class of integral operators enables to associate to such ...
A. Davey   +20 more
core   +2 more sources

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 [ K ⟩ [K\rangle or ⟨ K ] \langle K] is ideal irreducible, then [ K ⟩ = ⟨ K ] = L +
openaire   +2 more sources

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 on Weighted Morrey Spaces on Spaces of Homogeneous Type

open access: yesAnalysis and Geometry in Metric Spaces, 2020
In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Gong Ruming   +3 more
doaj   +1 more source

Fluctuation, dissipation, and thermalization in non-equilibrium AdS_5 black hole geometries

open access: yes, 2011
We give a simple recipe for computing dissipation and fluctuations (commutator and anti-commutator correlation functions) for non-equilibrium black hole geometries.
Derek Teaney   +4 more
core   +1 more source

On Commuting and Noncommuting Complexes

open access: yesJournal of Algebra, 2001
In this paper we study various simplicial complexes associated to the commutative structure of a finite group G. We define NC(G) (resp. C(G)) as the complex associated to the poset of pairwise non-commuting (resp. commuting) sets in G. We observe that NC(G) has only one positive dimensional connected component, which we call BNC(G), and we prove that ...
Pakianathan, Jonathan, Yalçın, Ergün
openaire   +3 more sources

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

Delta Opioid Receptors within the Cortico‐Thalamic Circuitry Underlie Hyperactivity Induced by High‐Dose Morphine

open access: yesAdvanced Science, EarlyView.
Morphine activates the excitatory cingulate cortex–intermediate rostrocaudal division of zona incerta (Cg‐ZIm) pathway to drive hyperlocomotion in mice. Inhibiting the Cg‐ZIm pathway attenuates both acute and chronic morphine‐induced hyperlocomotion, while its activation mimics morphine's motor effects.
Chun‐Yue Li   +13 more
wiley   +1 more source

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