Results 11 to 20 of about 1,476 (137)

Some fixed point theorems for compatible maps

open access: yesInternational 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
doaj   +1 more source

A Quantum Algorithm for the Commutativity of Finite Dimensional Algebras

open access: yesIEEE 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
doaj   +1 more source

On relationships between two linear subspaces and two orthogonal projectors

open access: yesSpecial Matrices, 2019
Sum and intersection of linear subspaces in a vector space over a field are fundamental operations in linear algebra. The purpose of this survey paper is to give a comprehensive approach to the sums and intersections of two linear subspaces and their ...
Tian Yongge
doaj   +1 more source

Children Have the Capacity to Think Multiplicatively, as long as … [PDF]

open access: yesEuropean Journal of STEM Education, 2017
Multiplicative thinking has been widely accepted as a critically important ‘big idea’ of mathematics and one which underpins much mathematical understanding beyond the primary years of schooling.
Chris Hurst
doaj   +1 more source

On generalized homoderivations of prime rings

open access: yesМатематичні Студії, 2023
Let $\mathscr{A}$ be a ring with its center $\mathscr{Z}(\mathscr{A}).$ An additive mapping $\xi\colon \mathscr{A}\to \mathscr{A}$ is called a homoderivation on $\mathscr{A}$ if $\forall\ a,b\in \mathscr{A}\colon\quad \xi(ab)=\xi(a)\xi(b)+\xi(a)b+a\xi(
N. Rehman   +2 more
doaj   +1 more source

Homotopical approach to quantum contextuality [PDF]

open access: yesQuantum, 2020
We consider the phenomenon of quantum mechanical contextuality, and specifically parity-based proofs thereof. Mermin’s square and star are representative examples.
Cihan Okay, Robert Raussendorf
doaj   +1 more source

On (?,?)-Derivations and Commutativity of Prime and Semi prime ?-rings

open access: yesمجلة بغداد للعلوم, 2016
Let R be a ?-ring, and ?, ? be two automorphisms of R. An additive mapping d from a ?-ring R into itself is called a (?,?)-derivation on R if d(a?b) = d(a)? ?(b) + ?(a)?d(b), holds for all a,b ?R and ???. d is called strong commutativity preserving (SCP)
Baghdad Science Journal
doaj   +1 more source

Quotient rings satisfying some identities

open access: yesCubo, 2023
This paper investigates the commutativity of the quotient ring \(\mathcal{R}/P\), where \(\mathcal{R}\) is an associative ring with a prime ideal \(P\), and the possibility of forms of derivations satisfying certain algebraic identities on \(\mathcal{R}\)
Mohammadi El Hamdaoui, Abdelkarim Boua
doaj   +1 more source

Certain near-rings are rings, II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
We investigate distributively-generated near-rings R which satisfy one of the following conditions: (i) for each x,y∈R, there exist positive integers m, n for which xy=ymxn; (ii) for each x,y∈R, there exists a positive integer n such that xy=(yx)n. Under
Howard E. Bell
doaj   +1 more source

Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings

open access: yesAdvanced Materials, EarlyView.
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen   +12 more
wiley   +1 more source

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