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On properties of commutative Alexander quandles
Journal of Knot Theory and Its Ramifications, 2014An 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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Commutative feebly clean rings
, 2017A ring R is defined to be feebly clean, if every element x can be written as x = u + e1 − e2, where u is a unit and e1, e2 are orthogonal idempotents. Feebly clean rings generalize clean rings and are also a proper generalization of weakly clean rings ...
N. Arora, S. Kundu
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The Commutative Property of Reciprocal Transformations and Dimensional Deformations
Qualitative Theory of Dynamical Systems, 2023W. Ma
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Some properties of commuting and anti-commuting m-involutions
Acta Mathematica Scientia, 2012Abstract 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, 1985Le 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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McCOY PROPERTY OF SKEW LAURENT POLYNOMIALS AND POWER SERIES RINGS
, 2014One of the important properties of commutative rings, proved by McCoy [Remarks on divisors of zero, Amer. Math. Monthly49(5) (1942) 286–295], is that if two nonzero polynomials annihilate each other over a commutative ring then each polynomial has a ...
A. Alhevaz, D. Kiani
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A Near-Commutativity Property for Rings
Results in Mathematics, 2002We 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 FIP Property for Extensions of Commutative Rings
, 2005D. Dobbs +3 more
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The Daugavet Property of C*-Algebras and Non-commutative Lp-Spaces
, 2002T. Oikhberg
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Deep Eutectic Solvents: A Review of Fundamentals and Applications
Chemical Reviews, 2021Brian W Doherty +2 more
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