Results 31 to 40 of about 382 (168)
A commutativity theorem for left s-unital rings
International 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
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Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces
Journal 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
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Commutativity theorems for normed *-algebras [PDF]
Colloquium Mathematicum, 1996 In this interesting article, the author accomplishes his aim of establishing the commutativity of certain normed *-algebras (not necessarily complete) ``as a consequence of conditions which are seemingly too weak to imply commutativity''. In this case, the sufficient conditions generally involve assumptions about the normality of the elements of the ...
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Characterizations of L-additive functions via generalized arithmetic convolutions [PDF]
Notes on Number Theory and Discrete MathematicsThis 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
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Commutativity theorems for rings with constraints on commutators
International 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
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Two elementary commutativity theorems for generalized boolean rings
International 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
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Commutativity of one sided s-unital rings through a Streb's result
International 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
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Rado's theorem for commutative rings
Journal of Combinatorial Theory, Series A, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vitaly Bergelson +3 more
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
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