Results 11 to 20 of about 83 (83)
Generalized derivations of Lie triple systems
Open Mathematics, 2016 In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆
Zhou Jia, Chen Liangyun, Ma Yao
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Functional equations related to higher derivations in semiprime rings
Open Mathematics, 2021 We investigate the additivity and multiplicativity of centrally extended higher derivations and show that every centrally extended higher derivation of a semiprime ring with no nonzero central ideals is a higher derivation.
Ezzat O. H.
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Boundedness control sets for linear systems on Lie groups
Open Mathematics, 2018 Let Σ be a linear system on a connected Lie group G and assume that the reachable set 𝓐 from the identity element e ∈ G is open. In this paper, we give an algebraic condition to warrant the boundedness of the existent control set with a nonempty interior
Ayala Víctor, Todco María Torreblanca
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Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations
Open Mathematics, 2020 In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
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Commutativity of Prime Rings with Symmetric Biderivations
Discussiones Mathematicae - General Algebra and Applications, 2018 The present paper shows some results on the commutativity of R: Let R be a prime ring and for any nonzero ideal I of R, if R admits a biderivation B such that it satisfies any one of the following properties (i) B([x, y], z) = [x, y], (ii) B([x, y], m) +
Reddy B. Ramoorthy, Reddy C. Jaya Subba
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Lie triple derivations of dihedron algebra
Frontiers in Physics, 2023 Let K be a 2-torsion free unital ring and D(K) be dihedron algebra over K. In the present article, we prove that every Lie triple derivation of D(K) can be written as the sum of the Lie triple derivation of K, Jordan triple derivation of K, and some ...
Minahal Arshad, Muhammad Mobeen Munir
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Jordan {g,h}-derivations on triangular algebras
Open Mathematics, 2020 In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation on τ(N)\tau ({\mathscr{N}}) is a {g,h ...
Kong Liang, Zhang Jianhua
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 46, Page 2473-2476, 2004., 2004 We prove thatany rigid left Noetherian ring is either a domain or isomorphic to some ring ℤpn of integers modulo a prime power pn.
O. D. Artemovych
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Jordan triple (α,β)-higher ∗-derivations on semiprime rings
Demonstratio Mathematica, 2023 In this article, we define the following: Let N0{{\mathbb{N}}}_{0} be the set of all nonnegative integers and D=(di)i∈N0D={\left({d}_{i})}_{i\in {{\mathbb{N}}}_{0}} a family of additive mappings of a ∗\ast -ring RR such that d0=idR{d}_{0}=i{d}_{R}. DD is
Ezzat O. H.
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 44, Page 2357-2369, 2004., 2004 In a recent paper we have extended the classical Herstein′s theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras. In the present paper we extend this result to semiprime associative superalgebras.
Maja Fošner
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