Results 31 to 40 of about 507 (91)
A note on skew Lie product of prime ring with involution
, 2020 Let R be a ring with involution. The skew Lie product of a,b∈R is defined byO[a,b] = ab−ba∗. In the present paper we study prime ring with involution satisfying identities involving skew Lie product and left centralizers.
A. Abbasi̇, M. Mozumder, N. Dar
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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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Traces of permuting generalized $n$-derivations of rings
, 2018 Let n 1 be a fixed positive integer and R be a ring. A permuting n-additive map ̋ W Rn ! R is known to be permuting generalized n-derivation if there exists a permuting nderivation W Rn ! R such that ̋.x1;x2; ;xix 0 i ; ;xn/ D ̋.x1;x2; ;xi ; ;xn/x 0 i C
M. Ashraf, Almas Khan, M. R. Jamal
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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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On strong commutativity preserving like maps in rings with involution
, 2015 The main purpose of this paper is to prove the following result: Let R be a prime ring with involution of the second kind and with char.R/ 6D 2. If R admits a nonzero derivation d W R!
Shakir Ali, N. Dar, A. Khan
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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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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 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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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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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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