Results 11 to 20 of about 3,997 (207)

Writing commutators of commutators as products of cubes [PDF]

open access: yesCommunications in Algebra, 2021
It is known that commutators of commutators can be written as products of cubes, with the current upper bound on the number of cubes being 60. We discuss how proofs extracted via coset enumeration can be used to investigate this problem, and exhibit a rewriting using only 14 cubes.
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Operators with commutative commutants.

open access: yesMichigan Mathematical Journal, 1988
Given operators M and N on a Hilbert space H, suppose that M (resp. N) is the direct sum of k (resp. n) copies of an operator A having a commutative commutant. Suppose further that m and k are countable cardinalities (or, any cardinalities if H is separable) and that N is a quasi-affine transform of M (i.e., \(NX=XM\) for some injective operator X with
Radjabalipour, M., Radjavi, H.
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A Characterization of Central BMO Space via the Commutator of Fractional Hardy Operator

open access: yesJournal of Function Spaces, 2020
This paper is devoted in characterizing the central BMO ℝn space via the commutator of the fractional Hardy operator with rough kernel. Precisely, by a more explicit decomposition of the operator and the kernel function, we will show that if the symbol ...
Lei Zhang, Shaoguang Shi
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Some Notes on Relative Commutators

open access: yesInPrime, 2020
Let G be a group and α ϵ Aut(G).  An α-commutator of elements x, y ϵ G is defined as [x, y]α = x-1y-1xyα. In 2015, Barzegar et al. introduced an α-commutator of elements of G and defined a new generalization of nilpotent groups by using the definition ...
Masoumeh Ganjali, Ahmad Erfanian
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
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Medial commutativity

open access: yesAnnals of Pure and Applied Logic, 2007
27 pages, minor ...
Kosta Dosen, Zoran Petric
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Commutative queries

open access: yesProceedings of the Fifth Israeli Symposium on Theory of Computing and Systems, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard Beigel, Richard Chang 0001
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On commutative polarizations

open access: yesJournal of Algebra, 2003
The purpose of this paper is to study finite-dimensional Lie algebras over a field k of characteristic zero which admit a commutative polarization (CP). Among the many results and examples, it is shown that, if k is algebraically closed, the nilradical N of a parabolic subalgebra in A_n and C_n has such a CP.
ELASHVILI, Alexander, OOMS, Alfons
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Commutant lifting for commuting row contractions [PDF]

open access: yesBulletin of the London Mathematical Society, 2010
one section and references were ...
Davidson, Kenneth R., Le, Trieu
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Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals

open access: yesJournal of Function Spaces and Applications, 2012
This paper is concerned with the pointwise estimates for the sharp function of the maximal multilinear commutators TΣb* and maximal iterated commutator TΠb*, generalized by m-linear operator T and a weighted Lipschitz function b.
Dongxiang Chen, Suzhen Mao
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