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Nil sets defined through generalized skew derivations having a Jordan-like behavior
Mathematics OpenLet R be a prime ring of characteristic different from [Formula: see text], C its extended centroid, F and G non-zero generalized skew derivations of R, associated with the same automorphism [Formula: see text] of R and [Formula: see text] a fixed ...
Francesco Ammendolia +1 more
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m-isometric generalised derivations
Concrete Operators, 2022 Given Banach space operators Ai, Bi (i = 1, 2), let δi denote (the generalised derivation) δi(X) = (LAi − RBi )(X) = AiX − XBi. If 0 ∈ σa(Bi), i = 1, 2, and if Δδ1,δ2n(I)=(Lδ1Rδ1-I)n(I)=0\Delta _{{\delta _1},\delta 2}^n\left( I \right) = {\left( {{L_ ...
Duggal B.P., Kim I.H.
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Generically Trivial Derived Categories [PDF]
Communications in Algebra, 2015 We study generic objects in triangulated categories and characterize the finite dimensional algebras $A$ such that the derived categories $D(\Mod A)$ are generically trivial. This is an analogue of a result of Crawley-Boevey for module categories. As a consequence, we show that $D(\Mod A)$ is generically trivial if and only if the category of perfect ...
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COMMUTING AND 2-COMMUTING DERIVATIONS OF SEMIPRIME RINGS
Journal of Kufa for Mathematics and Computer, 2012 The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R, we obtain a derivation d is commuting and 2-commuting on R.
Mehsin Jabel Atteya +1 more
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Generalized Number Derivatives
, 2005 We generalize the concept of a number derivative, and examine one particular instance of a deformed number derivative for finite field elements. We find that the derivative is linear when the deformation is a Frobenius map and go on to examine some of its basic properties.
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On generalized Peano derivatives [PDF]
Transactions of the American Mathematical Society, 1983 A function F F is said to have a generalized n n th Peano derivative at x x if F F is continuous in a neighborhood of x x and if there exists a positive integer k k such that a k k th primitive of F F in the ...
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On Left s -Centralizers Of Jordan Ideals And Generalized Jordan Left (s ,t ) -Derivations Of Prime Rings [PDF]
Engineering and Technology Journal, 2011 In this paper we generalize the result of S. Ali and C. Heatinger on left s - centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free prime ring, U is a Jordan ideal of R and G is an additive mapping from R into itself ...
Abdulrahman H. Majeed +1 more
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GENERALIZED HIGHER DERIVATIONS [PDF]
Bulletin of the Australian Mathematical Society, 2012 AbstractA type of generalized higher derivation consisting of a collection of self-mappings of a ring associated with a monoid, and here called a D-structure, is studied. Such structures were previously used to define various kinds of ‘skew’ or ‘twisted’ monoid rings. We show how certain gradings by monoids define D-structures.
E. P. COJUHARI, B. J. GARDNER
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On Prime Near-Rings with Generalized Derivation
International Journal of Mathematics and Mathematical Sciences, 2008 Let N be a 3-prime 2-torsion-free zero-symmetric left near-ring with multiplicative center Z. We prove that if N admits a nonzero generalized derivation f such that f(N)⊆Z, then N is a commutative ring. We also discuss some related properties.
Howard E. Bell
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Asymptotic aspect of derivations in Banach algebras
Journal of Inequalities and Applications, 2017 We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra.
Jaiok Roh, Ick-Soon Chang
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