Results 81 to 90 of about 95 (95)

A commutativity property for rings

Journal of Algebra and Its Applications, 2015
We provide a partial answer to the following question: Assume that R is a finite ring of order s such that for every two subsets M and N of cardinalities m and n respectively, there exist x ∈ M and y ∈ N such that xy = yx. What relations among s, m, n guarantee that R is commutative?
H. E. Bell, Mohammad Zarrin
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The Commutation Property

2010
In certain cases the filtering is in a sense trivial: the process decomposes into the observable and an independent process.
Xue-Mei Li   +2 more
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COMMUTING PROPERTIES OF EXT

Journal of the Australian Mathematical Society, 2013
AbstractWe characterize the abelian groups$G$for which the functors$\mathrm{Ext} (G, - )$or$\mathrm{Ext} (- , G)$commute with or invert certain direct sums or direct products.
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Commutation Properties of Symmetric Operators [PDF]

open access: possibleMathematische Nachrichten, 1995
AbstractThis relationship between the weak and strong bounded commutants of a symmetric operator S and the commutant of a generalized spectral family (in Naimark's sense) of S is studied. A characterization of the existence of self‐adjoint extensions of S via von Neumann subalgebras of the weak commutant is also given.
openaire   +1 more source

On properties of commutative Alexander quandles

Journal of Knot Theory and Its Ramifications, 2014
An Alexander quandle Mt is an abelian group M with a quandle operation a * b = ta + (1 - t)b where t is a group automorphism of the abelian group M. In this paper, we will study the commutativity of an Alexander quandle and introduce the relationship between Alexander quandles Mt and M1-t determined by group automorphisms t and 1 - t, respectively.
Yongju Bae, Seonmi Choi
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Some properties of commuting and anti-commuting m-involutions

Acta Mathematica Scientia, 2012
Abstract We define an m-involution to be a matrix K ∈ ℂ n × n for which Km = I. In this article, we investigate the class Sm (A) of m-involutions that commute with a diagonalizable matrix A ∈ ℂ n × n .
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Some properties of commutation in free partially commutative monoids

Information Processing Letters, 1985
Le but de cet article est de determiner l'ensemble C(u)={v∈A * /uv=vu|θ|}, qui est equivalent a determiner pour n=f(u), l'ensemble C(n)={n'∈Mθ(A)/nn'=n'n}
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A Near-Commutativity Property for Rings

Results in Mathematics, 2002
We revisit rings with the property that |A 2| ≤ 3 for each 2-subset A. We then investigate commutativity of rings R with the property that for each pair a, b of noncommuting elements of R, there exists an integer n > 1 for which a n = b n
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On the property of local commutativity

Functional Analysis and Its Applications, 1998
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