Results 261 to 270 of about 115,159 (298)
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Mathematical Notes, 2009
The cardinality of the centralizer of an element in infinite symmetric semigroups is studied.
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The cardinality of the centralizer of an element in infinite symmetric semigroups is studied.
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Skew-commuting and commuting mappings in rings
aequationes mathematicae, 2002Let \(R\) 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, 1999Various 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, 2004Let \(R\) 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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Commuting Mappings on the Hochschild Extension of an Algebra
Bulletin of the Iranian Mathematical Society, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, L., Cai, J.
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Commuting Maps of Triangular Algebras
Journal of the London Mathematical Society, 2001We 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.
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Commutativity Preserving Maps of Factors
Canadian Journal of Mathematics, 1988By a von Neumann algebra M we mean a weakly closed, self-adjoint algebra of operators on a Hilbert space which contains I, the identity operator. A factor is a von Neumann algebra whose centre consists of scalar multiples of I.In all that follows ϕ:M → N will be a one to one, *-linear map from the von Neumann factor M onto the von Neumann algebra N ...
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$n$-commuting maps on prime rings
Publicationes Mathematicae Debrecen, 2004Summary: 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), 2014In 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 +2 more
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Communications in Algebra, 1994
The commutator map θα: G → G associated with the element α of the group G is defined by θα(g) = g −1α−1gα for all g ∊ G. In this paper we prove that if the image θα is a subgroup of the finite group G, then θα(G) is soluble. (This in fact generalises the well-known result which states that all finite groups that admit a fixed-point-free automorphism ...
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The commutator map θα: G → G associated with the element α of the group G is defined by θα(g) = g −1α−1gα for all g ∊ G. In this paper we prove that if the image θα is a subgroup of the finite group G, then θα(G) is soluble. (This in fact generalises the well-known result which states that all finite groups that admit a fixed-point-free automorphism ...
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