Results 21 to 30 of about 350 (121)

Unique Common Fixed Point Theorems for Pairs of Hybrid Maps under a New Condition in Partial Metric Spaces

open access: yesDemonstratio Mathematica, 2014
In this paper, we introduce a new condition namely, ‘condition (W.C.C)’ and obtain two unique common fixed point theorems for pairs of hybrid mappings on a partial Hausdorff metric space without using any continuity and commutativity of the mappings.
Rao K. P. R., Rao K. R. K.
doaj   +1 more source

On the mapping xy→(xy)n in an associative ring

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We consider the following condition (*) on an associative ring R:(*). There exists a function f from R into R such that f is a group homomorphism of (R,+), f is injective on R2, and f(xy)=(xy)n(x,y) for some positive integer n(x,y)>1. Commutativity and
Scott J. Beslin, Awad Iskander
doaj   +1 more source

Carrollian approach to 1 + 3D flat holography

open access: yesJournal of High Energy Physics, 2023
The isomorphism between the (extended) BMS4 algebra and the 1 + 2D Carrollian conformal algebra hints towards a co-dimension one formalism of flat holography with the field theory residing on the null-boundary of the asymptotically flat space-time ...
Amartya Saha
doaj   +1 more source

A commutativity theorem for left s-unital rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
In this paper we generalize some well-known commutativity theorems for associative rings as follows: Let R be a left s-unital ring. If there exist nonnegative integers m>1, k≥0, and n≥0 such that for any x, y in R, [xky−xnym,x]=0, then R is commutative.
Hamza A. S. Abujabal
doaj   +1 more source

Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces

open access: yesJournal of Applied Mathematics, 2013
This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying ...
Saurabh Manro   +3 more
doaj   +1 more source

Commutativity theorems for rings with constraints on commutators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
In this paper, we generalize some well-known commutativity theorems for associative rings as follows: Let n>1, m, s, and t be fixed non-negative integers such that s≠m−1, or t≠n−1, and let R be a ring with unity 1 satisfying the polynomial identity ys[xn,
Hamza A. S. Abujabal
doaj   +1 more source

Characterizations of L-additive functions via generalized arithmetic convolutions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
This paper investigates the properties of L-additive functions within the algebraic frameworks of two generalized arithmetic convolutions: the K-convolution and Narkiewicz's A-convolution.
Champak Talukdar   +2 more
doaj   +1 more source

Two elementary commutativity theorems for generalized boolean rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In this paper we prove that if R is a ring with 1 as an identity element in which xm−xn∈Z(R) for all x∈R and fixed relatively prime positive integers m and n, one of which is even, then R is commutative.
Vishnu Gupta
doaj   +1 more source

Characterizations of Commutativity of Prime Ring with Involution by Generalized Derivations

open access: yesMathematics
In the paper, we investigate the commutativity of a two-torsion free prime ring R provided with generalized derivations, and some well-known results that characterize the commutativity of prime rings through generalized derivations have been generalized.
Mingxing Sui, Quanyuan Chen
doaj   +1 more source

Commutativity of one sided s-unital rings through a Streb's result

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
The main theorem proved in the present paper states as follows “Let m, k, n and s be fixed non-negative integers such that k and n are not simultaneously equal to 1 and R be a left (resp right) s-unital ring satisfying [(xmyk)n−xsy,x]=0 (resp [(xmyk)n ...
Murtaza A. Quadri   +2 more
doaj   +1 more source

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