Results 21 to 30 of about 171 (79)
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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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. Abbasi, M. Mozumder, N. Dar
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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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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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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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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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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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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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