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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 Commutators and the Equations of Motion

Physica Scripta, 1977
In this paper we calculate the commutators of operator functions for non-commuting operators on a Heisenberg ring. The commutator of two operators can be expressed with the help of the fundamental operators and their differentials. Using the theorem of the derivative of a function of operators with respect to any parameter, we can find tne equation of ...
A. D. Jannussis   +3 more
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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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Commutative properties of singularly perturbed operators

Theoretical and Mathematical Physics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. D. Koshmanenko, N. E. Dudkin
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Diophantine properties of finite commutative rings

Archive for Mathematical Logic, 2003
Over some particular rings (for example, over the ring of integers, \(\mathbb{Z }\)) the main logical relations (disjunctions, conjunctions and negations) of polynomial equations admit Diophantine definitions. The main contribution of this paper is to investigate the Diophantine definability of these relations over an arbitrary finite commutative ring ...
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Properties of commutative transformations of data models

Cybernetics, 1986
The data model (DM) is a formalism that makes it possible to present the states and dynamics of subject domains in data bases. In data base management systems (DBMS), DM is defined by a combination of the language means of data definitions (LMDD) and data manipulation (LMDM).
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The discrete commutator property of approximation spaces

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1999
Summary: We prove a super approximation result for a wide class of approximation spaces (including finite elements and wavelet type spaces). In particular such property, also referred at as the discrete commutator property holds, provided that a projector operator exists, who acts ``locally''.
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On some properties of commutator subsemigroups

Publicationes Mathematicae Debrecen, 2022
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Structure–property–function relationships of natural and engineered wood

Nature Reviews Materials, 2020
Chaoji Chen, Yudi Kuang, Shuze Zhu
exaly  

Two commutativity properties for rings

2016
Let A be a nonempty subset of the ring R, and let n be a fixed positive integer. We call R a Q(n)-ring if \(n[x,y]=0\) implies \([x,y]=0\); we say that R has property (II-A) if for each x,y\(\in R\) such that x-y\(\in A\), either \(x^ 2=y^ 2\) or x and y both centralize A.
Psomopoulos, Evagelos   +2 more
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