Results 41 to 50 of about 25,825 (189)

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

Package of facts and theorems for efficiently generating entanglement criteria for many qubits

open access: yes, 2012
We present a package of mathematical theorems, which allow to construct multipartite entanglement criteria. Importantly, establishing bounds for certain classes of entanglement does not take an optimization over continuous sets of states. These bonds are
D. M. Greenberger   +3 more
core   +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

Spin-Statistics, Spin-Locality, and TCP: Three Distinct Theorems

open access: yes, 1997
I show that the spin-statistics theorem has been confused with another theorem that I call the spin-locality theorem. I also argue that the spin-statistics theorem properly depends on the properties of asymptotic fields which are free fields. In addition,
Greenberg, O. W.
core   +3 more sources

A Commutativity Theorem for Rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1976
Let R R be any associative ring. Suppose that for every pair ( a 1 , a 2 ) ∈ R × R ({a_1},{a_2}) \in R \times R there exists a pair (
openaire   +2 more sources

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

Noncommutativity and theta-locality

open access: yes, 2008
In this paper, we introduce the condition of theta-locality which can be used as a substitute for microcausality in quantum field theory on noncommutative spacetime.
Bogoliubov N N   +11 more
core   +1 more source

Commutativity theorems for rings and groups with constraints on commutators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
Let n>1, m, t, s be any positive integers, and let R be an associative ring with identity. Suppose xt[xn,y]=[x,ym]ys for all x, y in R. If, further, R is n-torsion free, then R is commutativite.
Evagelos Psomopoulos
doaj   +1 more source

Naturality and Induced Representations [PDF]

open access: yes, 2000
We show that induction of covariant representations for C*-dynamical systems is natural in the sense that it gives a natural transformation between certain crossed-product functors.
Echterhoff, Siegfried   +3 more
core   +3 more sources

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

open access: yesAdvanced 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
wiley   +1 more source

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