Results 11 to 20 of about 299 (69)
Generalized Derivations With Left Annihilator Conditions in Prime and Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2017 Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R.
Dhara Basudeb
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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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Left Annihilator of Identities with Generalized Derivations in Prime and Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a noncommutative prime ring of char (R) ≠ 2, F a generalized derivation of R associated to the derivation d of R and I a nonzero ideal of R. Let S ⊆ R.
Rahaman Md Hamidur
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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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Generalized Lie n-derivations on arbitrary triangular algebras
Open Mathematics, 2023 In this study, we consider generalized Lie nn-derivations of an arbitrary triangular algebra TT through the constructed triangular algebra T0{T}_{0}, where T0{T}_{0} is constructed using the notion of maximal left (right) ring of quotients.
Yuan He, Liu Zhuo
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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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On Jordan ideals and left (θ, θ)‐derivations in prime rings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 37, Page 1957-1964, 2004., 2004 Let R be a ring and S a nonempty subset of R. Suppose that θ and ϕ are endomorphisms of R. An additive mapping δ : R → R is called a left (θ, ϕ)‐derivation (resp., Jordan left (θ, ϕ)‐derivation) on S if δ(xy) = θ(x)δ(y) + ϕ(y)δ(x) (resp., δ(x2) = θ(x)δ(x) + ϕ(x)δ(x)) holds for all x, y ∈ S.
S. M. A. Zaidi +2 more
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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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On derivations and commutativity in prime rings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3859-3865, 2004., 2004 Let R be a prime ring of characteristic different from 2, d a nonzero derivation of R, and I a nonzero right ideal of R such that [[d(x), x], [d(y), y]] = 0, for all x, y ∈ I. We prove that if [I, I]I ≠ 0, then d(I)I = 0.
Vincenzo De Filippis
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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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