Results 11 to 20 of about 128,731 (304)
A combinatorial commutativity property for rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We study commutativity in rings R with the property that for a fixed positive integer n, xS = Sx for all x ∈ R and all n‐subsets S of R.
Howard E. Bell, Abraham A. Klein
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On the commutative properties of boundary integral operators [PDF]
Proceedings of the American Mathematical Society, 1979 A discussion of the interior Dirichlet and Neumann problems of classical potential theory can be given in terms of the symmeterisers of certain related integral operators. Recent developments in the theory and application of integral equations of the first kind have made this approach towards the solution of boundary value problems a more attractive ...
G. F. Roach
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On the Commutation Properties of Finite Convolution and Differential Operators I: Commutation. [PDF]
Results in Mathematics, 2021 The commutation relation $KL = LK$ between finite convolution integral operator $K$ and differential operator $L$ has implications for spectral properties of $K$. We characterize all operators $K$ admitting this commutation relation. Our analysis places no symmetry constraints on the kernel of $K$ extending the well-known results of Morrison for real ...
Yury Grabovsky, Narek Hovsepyan
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Hypercyclicity Properties of Commutator Maps [PDF]
Integral Equations and Operator Theory, 2016 We investigate the hypercyclic properties of commutator maps acting on separable ideals of operators. As the main result we prove the commutator map induced by scalar multiples of the backward shift operator fails to be hypercyclic on the space of compact operators on $\ell^2$. We also establish some necessary conditions which identify large classes of
Clifford Gilmore +2 more
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On idempotent stable range 1 matrices
Special Matrices, 2022 We characterize the idempotent stable range 1, 2 × 2 matrices over commutative rings and in particular the integral matrices with this property. Several special cases and examples complete the subject.
Călugăreanu Grigore, Pop Horia F.
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The universal property of commutative algebras' internal crossed modules
Journal of New Results in Science, 2023 In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects.
Elis Soylu Yılmaz
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Properties of the combinations of commutative idempotents [PDF]
Linear Algebra and its Applications, 2012 AbstractThis paper deals with idempotent operators (i.e., P2=P) and n-potent operators (i.e., Pn=P). We characterize the invertibility, the group invertibility and idempotency of the linear combinations of idempotent operators (or n-potent operators) under certain commutativity property imposed on them.
Chunyuan Deng +2 more
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Computation of eccentric topological indices of zero-divisor graphs based on their edges
AIMS Mathematics, 2022 The topological index of a graph gives its topological property that remains invariant up to graph automorphism. The topological indices which are based on the eccentricity of a chemical graph are molecular descriptors that remain constant in the whole ...
Ali N. A. Koam +3 more
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The Ideal Intersection Property for Groupoid Graded Rings [PDF]
, 2010 We show that if a groupoid graded ring has a certain nonzero ideal property, then the commutant of the center of the principal component of the ring has the ideal intersection property, that is it intersects nontrivially every nonzero ideal of the ring ...
Caenepeel S. +25 more
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Leibniz seminorms in probability spaces [PDF]
, 2014 In this paper we study the (strong) Leibniz property of centered moments of bounded random variables. We shall answer a question raised by M.
Besenyei, Adam, Leka, Zoltan
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