Results 11 to 20 of about 1,476 (137)
Some fixed point theorems for compatible maps
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
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
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]
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
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]
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
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
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
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
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

