Results 261 to 270 of about 697 (297)

Commuting Mappings on the Hochschild Extension of an Algebra

Bulletin of the Iranian Mathematical Society, 2018
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Cai J
exaly   +2 more sources

Approximation of fixed points of uniformly R-subweakly commuting mappings

Journal of Mathematical Analysis and Applications, 2006
We introduce a new class of uniformly R-subweakly commuting mappings and then using this class study the problem of approximation of common fixed points of asymptotically S-nonexpansive mappings in a Banach space with uniformly Gâteaux differentiable ...
Ismat Beg, D R Sahu
exaly   +2 more sources

Commuting mappings of generalized matrix algebras

Linear Algebra and Its Applications, 2010
In this paper we will describe the general form of commuting mappings of a class called generalized matrix algebras and consider the question of when all commuting mappings of such generalized matrix algebras take a certain form which is said to be ...
Zhankui Xiao, Feng Wei
exaly   +2 more sources

On Commutativity and Strong Commutativity-Preserving Maps

Canadian Mathematical Bulletin, 1994
AbstractIf R is a ring and S ⊆ R, a mapping f:R —> R is called strong commutativity- preserving (scp) on S if [x, y] = [f(x),f(y)] for all x,y € S. We investigate commutativity in prime and semiprime rings admitting a derivation or an endomorphism which is scp on a nonzero right ideal.
Bell, Howard E., Daif, Mohamad Nagy
openaire   +1 more source

Skew-commuting and commuting mappings in rings

aequationes mathematicae, 2002
Let \(R\) be a ring with center \(Z\), and \(S\) a nonempty subset of \(R\); and let \(n\) be a fixed positive integer. A mapping \(f\colon R\to R\) is called \(n\)-commuting (resp. \(n\)-centralizing) on \(S\) if \([x^n,f(x)]=0\) (resp. \([x^n,f(x)]\in Z\)) for all \(x\in S\). Similarly, \(f\) is \(n\)-skew-commuting (resp. \(n\)-skew-centralizing) on
Park, Kyoo-Hong, Jung, Yong-Soo
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On Additive Maps and Commutativity in Rings

Results in Mathematics, 1999
Various results concerning (skew-)commuting and skew-centralizing maps on (semi)prime rings are obtained. A sample result: Let \(R\) be a 2-torsionfree semiprime ring, \(U\) be a nonzero left ideal of \(R\) and \(d\) be a derivation of \(R\). If \(d\) is skew-commuting on \(U\) (that is, \(ud(u)+d(u)u=0\) for all \(u\in U\)), then \(d(U)=0\).
Bell, Howard E., Lucier, Jason
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Skew-commuting and Commuting Mappings in Rings with Left Identity

Results in Mathematics, 2004
Let \(R\) be a ring with left identity \(e\), and let \(H\) be an additive subgroup of \(R\) containing \(e\). Let \(F\colon R^n\to R\) be an \(n\)-additive map with trace \(f\). The principal theorems, all rather technical in their statements, assert that if \(R\) has appropriate restrictions on torsion and appropriate polynomials involving \(f(x ...
Sharma, R. K., Dhara, Basudeb
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$n$-commuting maps on prime rings

Publicationes Mathematicae Debrecen, 2004
Summary: We prove a result concerning additive \(n\)-commuting maps on prime rings and then apply it to \(n\)-commuting linear generalized differential polynomials.
Lee, T.-K., Liu, K.-S., Shiue, W.-K.
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Gamut mapping with image Laplacian commutators

2014 IEEE International Conference on Image Processing (ICIP), 2014
In this paper, we present a gamut mapping algorithm that is based on spectral properties of image Laplacians as image structure descriptors. Using the fact that structurally similar images have similar Laplacian eigenvectors and employing the relation between joint diagonalizability and commu-tativity of matrices, we minimize the Laplacians commutator ...
Artiom Kovnatsky, Davide Eynard, Michael M. Bronstein   +2 more
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Commuting Maps of Triangular Algebras

Journal of the London Mathematical Society, 2001
We investigate commuting maps on a class of algebras called triangular algebras. In particular, we give sufficient conditions such that every commuting map \(L\) on such an algebra is of the form \(L(a)=ax+h(a)\), where \(x\) lies in the center of the algebra and \(h\) is a linear map from the algebra to its center.
openaire   +1 more source