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Some Identities Related to Semiprime Ideal of Rings with Multiplicative Generalized Derivations
AxiomsThis paper investigates the relationship between the commutativity of rings and the properties of their multiplicative generalized derivations. Let F be a ring with a semiprime ideal Π. A map ϕ:F→F is classified as a multiplicative generalized derivation
Ali Yahya Hummdi +3 more
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Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings [PDF]
Journal of Mahani Mathematical ResearchThe 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 +3 more
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A Note on the Trace of Generalized Permuting Tri-Derivations
Cumhuriyet Science JournalMany researchers have studied permuting tri-derivation and generalized derivation in prime or semi-prime rings, BCK-algebras, lattices, d-algebras, MV-algebras and many algebraic structures. Later, they introduced the concept of generalized permuting tri-
Süleyman Zortaş, Hasret Yazarlı
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On generalized Peano derivatives [PDF]
Transactions of the American Mathematical Society, 1983 A function F F is said to have a generalized
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Generalized Jordan derivation on nest algebras [PDF]
, 2009 Let N be a nest on a Banach space X, and AlgN be the associated nest algebra. In this paper, we prove that, if there is a nontrivial element in N which is complemented in X, then every additive generalized Jordan derivation from AlgN into itself is an ...
Hou, Jinchuan, Qi, Xiaofei
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On Lie ideals satisfying certain differential identities in prime rings
Extracta Mathematicae, 2023 Let R be a prime ring of characteristic not 2, L a nonzero square closed Lie ideal of R and let F : R → R, G : R → R be generalized derivations associated with derivations d : R → R, g : R → R respectively.
B. Dhara, S. Ghosh, G.S. Sandhu
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The orbits of generalized derivatives
Annales Academiae Scientiarum Fennicae Mathematica, 2019 The infinitesimal space of a quasiregular mapping was introduced by Gutlyanskii et al and generalized the idea of a derivative for this class of mappings which is only differentiable almost everywhere. In this paper, we show that the infinitesimal space is either simple, that is, it consists of only one mapping, or it contains uncountable many.
Fletcher, Alastair, Wallis, Ben
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Generalized (theta, theta)- Semi-derivations of Prime Near-rings
Wasit Journal of Computer and Mathematics ScienceThe concept of differential algebra has been initiated before many years ago. This research topic has inspired a lot of authors to its study with different algebraic structures such as rings or semi-rings.
mohd Shahoodh, Omar Kareem Ali
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On Generalized Derivations in Nearrings
Chinese Journal of Mathematics, 2013 The aim of this paper is to investigate some results of nearrings satisfying certain identities involving generalized derivations. Furthermore, we give some examples to demonstrate the restrictions imposed on the hypothesis of various results which are not superfluous.
Mohd Rais Khan, Mohd Mueenul Hasnain
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Semiprime Rings with Multiplicative Generalized Derivations on Lie Ideals
Cumhuriyet Science Journal, 2017 Let be a torsion free semiprime ring. In [10], a map is called a multiplicativegeneralized derivation if there exists a map such that for all . Let be a noncentral square-closed Lieideal of and multiplicative generalizedderivations associated to the ...
Emine Koç
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