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Multiplicative Generalized Reverse ∗CE-Derivations Acting on Rings with Involution
Journal of Mathematics, 2023 Let S be a ring with involution having a nontrivial symmetric idempotent element e. If Ω is any appropriate multiplicative generalized reverse ∗CE-derivation of S with involution ∗, then under some suitable restrictions on S, Ω is centrally-extended ...
A. M. Khaled +2 more
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Generalized Derivations on Prime Near Rings
International Journal of Mathematics and Mathematical Sciences, 2013 Let N be a near ring. An additive mapping f:N→N is said to be a right generalized (resp., left generalized) derivation with associated derivation d on N if f(xy)=f(x)y+xd(y) (resp., f(xy)=d(x)y+xf(y)) for all x,y∈N.
Asma Ali, Howard E. Bell, Phool Miyan
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THE SUFFICIENT CONDITIONS FOR A MULTIPLICATIVE DERIVATION IN THE JORDAN RING TO BE ADDITIVE [PDF]
Derivation is a mapping from a set to itself. There are two types of derivations in rings: ordinary derivation and Jordan derivation. Given a triangular matrix ring T, a non-associative ring can be formed, known as a Jordan ring T.
Patty, Dyana +2 more
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The structure of nonlinear Lie derivation on von Neumann algebras
, 2012 Let M be a von Neumann algebra with no central summands of type I1. If Φ:M→M is a nonlinear Lie derivation, then Φ is of the form σ+τ, where σ is an additive derivation of M and τ is a mapping of M into its center ZM which maps commutators into ...
Shuanping Du +3 more
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Nonlinear η-∗-Jordan n-Derivation on ∗-Algebras
MathematicsLet A be a unital ∗-algebra with the unit I over the complex field C and let η≠0,±1 be a complex number. For any A,B∈A, A⋄ηB=AB+ηBA* is referred to as the η-Jordan ∗-product. Suppose that n≥3 is a fixed positive integer.
Shengsheng Wu +2 more
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International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a ring A bi-additive symmetric mapping d:R×R→R is called a symmetric bi-derivation if, for any fixed y∈R, the mapping x→D(x,y) is a derivation. The purpose of this paper is to prove the following conjecture of Vukman.
Qing Deng
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A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, 2021 In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
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Multiplicative δ-derivation in alternative algebras
, 2018 Every multiplicative [Formula: see text]-derivation of an alternative algebra [Formula: see text] is additive if there exists an idempotent [Formula: see text] in [Formula: see text] satisfying the following conditions: (i) [Formula: see text] implies ...
M. V. L. Bharathi, K. Jayalakshmi
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Nonlinear Mixed Jordan-Type Derivations on ∗-Algebra
AxiomsLet A be a unital ∗-algebra over the complex fields C. In this article, it is proved that a nonlinear mixed bi-skew Jordan n-derivation is an additive ∗-derivation under certain conditions.
Amal S. Alali +2 more
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Additive Lie derivations on the algebras of locally measurable operators [PDF]
, 2015 Let M be a von Neumann algebra without central summands of type I . We are studying conditions that an additive map L on the algebra of locally measurable operators has the standard form, that is equal to the sum of an additive derivation and an additive
Gaber, Jaafar +3 more
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