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Approximation of Generalized Left Derivations [PDF]
Abstract and Applied Analysis, 2008 We need to take account of the superstability for generalized left derivations (resp., generalized derivations) associated with a Jensen-type functional equation, and we also deal with problems for the Jacobson radical ranges of left derivations (resp ...
Sheon-Young Kang, Ick-Soon Chang
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On Symmetric Left Bi-Derivations in BCI-Algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2013 The notion of symmetric left bi-derivation of a BCI-algebra X is introduced, and related properties are investigated. Some results on componentwise regular and d-regular symmetric left bi-derivations are obtained.
G. Muhiuddin +3 more
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JORDAN DERIVATIONS AND JORDAN LEFT DERIVATIONS OF BANACH ALGEBRAS
Communications of the Korean Mathematical Society, 2002 Summary: We obtain some results concerning Jordan derivations and Jordan left derivations mapping into the Jacobson radical. Our main result is the following: Let \(d\) be a Jordan derivation (resp. Jordan left derivation) of a complex Banach algebra \(A\). If \(d^2(x)=0\) for all \(x\in A\), then we have \(d(A)\subseteq\text{rad}(A)\).
Yong-Soo Jung
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Left ideals and derivations in semiprime rings
Journal of Algebra, 2004 Let \(R\) be a prime or semiprime ring with center \(Z(R)\), let \(L\) be a nonzero left ideal, and let \(D\) and \(E\) be nonzero derivations on \(R\). For \(S\subseteq R\), denote by \((S)\) the ideal generated by \(S\). The author explores the following conditions, suggested by a classic paper of \textit{E. C. Posner} [Proc. Am. Math. Soc.
Charles Lanski
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Jordan left derivations in infinite matrix rings
Demonstratio MathematicaLet RR be a unital associative ring. Our motivation is to prove that left derivations in column finite matrix rings over RR are equal to zero and demonstrate that a left derivation d:T→Td:{\mathcal{T}}\to {\mathcal{T}} in the infinite upper triangular ...
Zhang Daochang +3 more
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Jordan left (?,?) -derivations Of ?-prime rings
مجلة بغداد للعلوم, 2011 It was known that every left (?,?) -derivation is a Jordan left (?,?) – derivation on ?-prime rings but the converse need not be true. In this paper we give conditions to the converse to be true.
Baghdad Science Journal
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Generalized Left Derivations with Identities on Near-Rings
مجلة بغداد للعلوم, 2023 In this paper, new concepts which are called: left derivations and generalized left derivations in nearrings have been defined. Furthermore, the commutativity of the 3-prime near-ring which involves some algebraic identities on generalized left ...
Enaam Farhan
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Jordan left derivations and some left derivable maps [PDF]
Operators and Matrices, 2010 Let A be an algebra and M be a left A -module. We say that a linear mapping φ : A → M is a left derivable mapping at P if φ(ST ) = Sφ(T ) +Tφ(S) for any S,T ∈ A with ST = P . In this paper, we show that Jordan left derivations or left derivable mappings at zero or unit on some algebras are zero under certain conditions.
Jiankui Li, Jiren Zhou
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On left derivations and related mappings [PDF]
Proceedings of the American Mathematical Society, 1990 Let R R be a ring and X
M. Bresar, J. Vukman
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Applied Artificial Intelligence, 2023 The concepts of left (right) fuzzy derivations of d-ideals of d-algebra is introduced. The cartesian product of left (right) fuzzy derivations of d-ideals are investigated.
Abdi Oli, Gerima Tefera
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