Results 51 to 60 of about 789 (162)

Derivations and Deformations of δ-Jordan Lie Supertriple Systems

Advances in Mathematical Physics, 2019
Let T be a δ-Jordan Lie supertriple system. We first introduce the notions of generalized derivations and representations of T and present some properties.
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo   +2 more
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On Jordan generalized derivations in gamma rings.

, 2003
Summary: We define generalized derivations and Jordan generalized derivations on \(\Gamma\)-rings and show that a Jordan generalized derivation on some \(\Gamma\)-ring is a generalized derivation.
Yılmaz Çeven, M.Ali Öztürk
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Jordan derivations on rings [PDF]

Proceedings of the American Mathematical Society, 1975
I. N. Herstein has shown that every Jordan derivation on a prime ring not of charactetistic 2 2 is a derivation.
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Jacobi–Jordan Conformal Algebras: Basics, Constructions and Related Structures

Mathematics
The main purpose of this paper is to introduce and investigate the notion of Jacobi–Jordan conformal algebras. They are a generalization of Jacobi–Jordan algebras which correspond to the case in which the formal parameter λ equals 0.
Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf   +2 more
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Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings [PDF]

Journal of Mahani Mathematical Research
The purpose of this research is to demonstrate the following assertions: an additive mapping $\mathcal{H}$ is a generalized ($\zeta, \xi$)-derivation associated with a ($\zeta, \xi$)-derivation ${\bf h}$, where $\zeta, \xi$ are endomorphisms on a $(m+n+p-
Abu Zaid Ansari, Faiza Shujat, Muzibur Mozumder, Wasim Ahmed   +3 more
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Nonlinear Mixed Jordan-Type Derivations on ∗-Algebra

Axioms
Let 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, Md Arshad Madni, Muzibur Rahman Mozumder   +2 more
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On Superderivations and Jordan Superderivations of Incidence Superalgebras

Axioms
In this paper we study superderivations and Jordan superderivations of incidence superalgebras of locally finite Z2-graded posets. We prove that every superderivation can be expressed as a sum of an inner superderivation, an additive superderivation, and
Doaa Filali, Fatemah A. Alghamdi, Mohamed E. Elnair, Faizan Ahmad Khan   +3 more
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JORDAN $\epsilon$-HOMOMORPHISMS AND JORDAN $\epsilon$-DERIVATIONS

Taiwanese Journal of Mathematics, 2005
Herstein’s theorems on Jordan homomorphisms and Jordan derivations on prime associative algebras are extended to graded prime associative algebras.
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Nonlinear generalized Jordan (σ, Γ)-derivations on triangular algebras

Special Matrices, 2018
Let R be a commutative ring with identity element, A and B be unital algebras over R and let M be (A,B)-bimodule which is faithful as a left A-module and also faithful as a right B-module.
Alkenani Ahmad N., Ashraf Mohammad, Jabeen Aisha   +2 more
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A NOTE ON NONLINEAR MIXED ∗-JORDAN TYPE DERIVATIONS ON ∗-ALGEBRAS [PDF]

Journal of Algebraic Systems
Let S be a ∗-algebra containing the unity and a nontrivial projection. In the present paper, we showthat under certain restrictions if a map Ψ : S → S satisfies Ψ(L ⋄ N • D) = Ψ(L) ⋄ N • D + L ⋄Ψ(N) • D + L ⋄ N • Ψ(D) for all L, N, D ∈ S, then Ψ is an ...
Mohammad Siddeeque, Raof Ahmad Bhat, Abbas Hussain Shikeh   +2 more
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