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Fostering Formal Commutativity Knowledge with Approximate Arithmetic.
PLoS ONE, 2015 How can we enhance the understanding of abstract mathematical principles in elementary school? Different studies found out that nonsymbolic estimation could foster subsequent exact number processing and simple arithmetic.
Sonja Maria Hansen +5 more
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Generalized Derivations with Commutativity and Anti-commutativity Conditions [PDF]
, 2007 Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0; (iii) F(x) Ο F(y) = x Ο
Bell, Howard E., Rehman, Nadeem-ur
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Bulletin of the Australian Mathematical Society, 2006 A ring is called a commutator ring if every element is a sum of additive commutators. In this note we give examples of such rings. In particular, we show that given any ring R, a right R-module N, and a nonempty set Ω, EndR(⌖ΩN) and EndR(ΠΩN) are commutator rings if and only if either Ω is infinite or EndR(N) is itself a commutator ring.
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Commutant lifting for commuting row contractions [PDF]
Bulletin of the London Mathematical Society, 2010 one section and references were ...
Davidson, Kenneth R., Le, Trieu
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Results on Lie ideals of prime ringswith homoderivations
Extracta Mathematicae, 2023 Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping Hon R is called a homoderivation if H(xy) =H(x)H(y)+H(x)y+xH(y)for all x, y∈R. In this paper we investigate homoderivations satisfying
A. Sarikaya, O. Gölbasi
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Some fixed point theorems for compatible maps
International Journal of Mathematics and Mathematical Sciences, 1993 A collection of fixed point theorems is generalized by replacing hypothesized commutativity or weak commutativity of functions involved by compatibility.
G. jungck, B. E. Rhoades
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A Quantum Algorithm for the Commutativity of Finite Dimensional Algebras
IEEE Access, 2019 A quantum procedure for testing the commutativity of a finite dimensional algebra is introduced. This algorithm, based on Grover's quantum search, is shown to provide a quadratic speed-up (when the number of queries to the algebra multiplication ...
Elias F. Combarro +2 more
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Patterns of commutativity: the commutant of the full pattern [PDF]
, 2005 Identified are a number of conditions on square patterns that are closely related to allowing commutativity with the full pattern. Implications and examples that show non-implications are given, along with a graph that summarizes the provided information.
Johnson, CR, Marques, MD
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Open String/Open D-Brane Dualities: Old and New [PDF]
, 2001 We examine magnetic and electric near horizon regions of maximally supersymmetric D-brane and NS5-brane bound states and find transformations between near horizon regions with worldvolume dual magnetic and electric fluxes.
Larsson, H., Sundell, P.
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Transactions of the American Mathematical Society, 1974 Let G be a group generated by x and y, G 2 {G_2} be the commutator subgroup of G, and G 1 {G_1} be the group generated by y and G 2 {G_2} . This paper contains explicit expansions of
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