Results 21 to 30 of about 45 (45)

A Pair of Generalized (α, α)‐Derivations With Identities Related to Prime Ideals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Let A be an arbitrary ring, α an automorphism of A, I a nonzero ideal of A, and ϒ a prime ideal of A satisfying the condition ϒ⊊αI. This research investigates the interplay between two generalized (α, α)‐derivations, Ω and G (associated with (α, α)‐derivations f and h, respectively), and the resulting characteristics of the quotient ring A/ϒ.
Ali Yahya Hummdi, Hafedh Alnoghashi, Radwan Mohammed Al-Omary, Abdelkarim Boua, Faranak Farshadifar   +4 more
wiley   +1 more source

On superstability of derivations in Banach algebras

Open Mathematics
In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized ...
Chang Ick-Soon, Kim Hark-Mahn, Roh Jaiok
doaj   +1 more source

A Note on Skew Derivations and Antiautomorphisms of Prime Rings

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity‐preserving maps to analyze these rings.
Faez A. Alqarni, Nadeem U. R. Rehman, Hafedh Alnoghashi, Junaid Nisar, Omar Al-Mallah, Ali Jaballah   +5 more
wiley   +1 more source

A Study of Generalized Differential Identities via Prime Ideals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution.
Ali Yahya Hummdi, Kamal Charrabi, Shakir Ali, Abdellah Mamouni, Faranak Farshadifar   +4 more
wiley   +1 more source

S‐J‐Ideals: A Study in Commutative and Noncommutative Rings

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we introduce the concept of S‐J‐ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J‐ideals apply to S‐J‐ideals and examine their characteristics in various ring constructions, such as homomorphic image rings, quotient rings, cartesian ...
Alaa Abouhalaka, Hatice Çay, Bayram Ali Ersoy, Huadong Su   +3 more
wiley   +1 more source

On Additivity and Multiplicativity of Centrally Extended (α, β)‐Higher Derivations in Rings

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, the concept of centrally extended (α, β)‐higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals. Also, we prove that in semiprime rings with no nonzero central ideals, every centrally extended (α, β)‐higher derivation is an (α, β)‐higher derivation.
O. H. Ezzat, Attila Gil nyi
wiley   +1 more source

Asymptotic aspect of derivations in Banach algebras. [PDF]

J Inequal Appl, 2017
Roh J, Chang IS.
europepmc   +1 more source

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Certain algebraic identities on prime rings with involution

Communications in Algebra, 2021
Abdellah Mamouni, Lahcen Oukhtite, Mohammed Zerra   +2 more
exaly  

Nonlinear maps of ⁎-derivation-type on a family of sum of triple products on ⁎-algebras

Communications in Algebra, 2023
João Carlos da Motta Ferreira
exaly  

Nonlinear mixed Lie triple derivations on prime *-algebras

Communications in Algebra, 2019
Jianhua Zhang
exaly