Results 11 to 20 of about 371 (169)
Some fixed point theorems for compatible maps
International Journal of Mathematics and Mathematical Sciences, 1993 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
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An iteration technique and commutativity of rings
International Journal of Mathematics and Mathematical Sciences, 1990 Through much shorter proofs, some new commutativity theorems for rings with unity have been obtained. These results either extend or generalize a few well-known theorems. Our method of proof is based on an iteration technique.
H. A. S. Abujabal, M. S. Khan
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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 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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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 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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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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On some weak conditions of commutativity in common fixed point theorems
International Journal of Mathematics and Mathematical Sciences, 1988 We generalize common fixed point theorems of Fisher and Sessa in complete metric spaces, using some conditions of weak commutativity between a set-valued mapping and a single-valued mapping. Suitable examples prove that these conditions do not imply each
M. Imdad, M. S. Khan, S. Sessa
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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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