Results 21 to 30 of about 123,101 (223)
Schür’s Theorems on Commutative Matrices [PDF]
Bulletin of the American Mathematical Society, 1944 Summary: In 1905 \textit{I. Schur} [Zur Theorie der vertauschbaren Matrizen. J. Reine Angew. Math. 130, 66-76 (1905; JFM 36.0140.01)] proved that the maximum number \(N(n)\) of linearly independent commutative matrices of \(n\) rows and columns is given by the formula \(N(n)=[n^2/4]+1=\nu^2+1\) if \(n=2\nu\) and \(=\nu(\nu-1)+1\) if \(n=2\nu-1\). Schur
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On commutativity theorems for rings
International Journal of Mathematics and Mathematical Sciences, 1990 Let R be an associative ring with unity. It is proved that if R satisfies the polynomial identity [xny−ymxn,x]=0(m>1,n≥1), then R is commutative. Two or more related results are also obtained.
H. A. S. Abujabal, M. S. Khan
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Demonstratio 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.
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Carrollian approach to 1 + 3D flat holography
Journal 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
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On the mapping xy→(xy)n in an associative ring
International 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
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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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Duo Rings: Some Applications to Commutativity Theorems
, 1968 Proofs of commutativity theorems for general rings usually employ the Jacobson structure theory; however, alternative approaches to the "xn = x theorem" [ l, 2] suggest that the power of the Jacobson theory is not required.
Howard E. Bell
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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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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 of rings with constraints involving a subset [PDF]
, 2003 summary:Suppose that $R$ is an associative ring with identity $1$, $J(R)$ the Jacobson radical of $R$, and $N(R)$ the set of nilpotent elements of $R$. Let $m \ge 1$ be a fixed positive integer and $R$ an $m$-torsion-free ring with identity $1$.
Khan, Moharram A.
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