Results 1 to 10 of about 179 (118)

On Centrally Semiprime Rings and Centrally Semiprime [PDF]

Kirkuk Journal of Science, 2008
In this paper, two new algebraic structures are introduced which we call a centrally semiprime ring and a centrally semiprime right near-ring, and we look for those conditions which make centrally semiprime rings as commutative rings, so that several ...
Adil Kadir Jabbar, Abdulrahman Hamed Majeed   +1 more
doaj   +2 more sources

On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals

Journal of Mathematics, 2023
Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)-derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities.
Hafedh M. Alnoghashi, Sabah Naji, Nadeem ur Rehman   +2 more
doaj   +2 more sources

Centralizing n-Homoderivations of Semiprime Rings

Journal of Mathematics, 2022
We introduce the notion of n-homoderivation on a ring ℜ and show that a semiprime ring ℜ must have a nontrivial central ideal if it admits an appropriate n-homoderivation which is centralizing on some nontrivial one-sided ideal. Under similar hypotheses,
M. S. Tammam El-Sayiad, A. Ageeb, A. Ghareeb   +2 more
doaj   +2 more sources

A note on derivations in semiprime rings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all x∈R.
Joso Vukman, Irena Kosi-Ulbl
doaj   +3 more sources

A Note on Weakly Semiprime Ideals and Their Relationship to Prime Radical in Noncommutative Rings

Journal of Mathematics
In this paper, we introduce the concept of weakly semiprime ideals and weakly n-systems in noncommutative rings. We establish the equivalence between an ideal P being a weakly semiprime ideal and R−P being a weakly n-system.
Alaa Abouhalaka
doaj   +2 more sources

Commutativity with Derivations of Semiprime Rings

Discussiones Mathematicae - General Algebra and Applications, 2020
Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
doaj   +2 more sources

On Additivity and Multiplicativity of Centrally Extended α,β-Higher Derivations in Rings

International Journal of Mathematics and Mathematical Sciences
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.
O. H. Ezzat
doaj   +2 more sources

Source of semiprimeness of $\ast$-prime rings

Journal of Amasya University the Institute of Sciences and Technology
This study constructs a structure $S_{R}^{\ast}$ that had never been studied before and obtained new results by defining a subset $S_{R}^{\ast}$ of $R$ as$S_{R}^{\ast}=\left\{ \left.
Barış Albayrak, Didem Yeşil, Didem Karalarlıoğlu Camcı   +2 more
doaj   +4 more sources

Quasi-semiprime Modules

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023
    Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever   is a Prime Ideal For proper submodule N of  B,then B is called Quasi ...
Muntaha Abdul- Razaq Hasan
doaj   +1 more source

On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings

Journal of New Theory, 2022
The algebraic properties and identities of a semiprime ring are investigated with the help of the multiplicative (generalised)-(α, α)-reverse derivation on the non-empty ideal of the semiprime ring.
Neşet Aydın, Handan Karahan, Didem Yeşil   +2 more
doaj   +1 more source