Results 1 to 10 of about 677,100 (167)

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   +4 more sources

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

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   +2 more sources

On centralizers of semiprime rings [PDF]

Aequationes Mathematicae, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Irena Kosi Ulbl, Joso Vukman
exaly   +3 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   +4 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

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

Generalized Munn rings

Open Mathematics, 2022
Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
doaj   +1 more source

Fuzzy weakly prime Γ-ideals in Γ-rings [PDF]

Journal of Hyperstructures, 2017
In this work, we investigate fuzzy weakly prime Γ-ideal, fuzzy partial weakly prime Γ-ideal and fuzzy semiprime Γ- ideal of a commutative Γ-ring with nonzero identity. We obtained some characterizations of fuzzy weakly prime Γ-ideal, partial weakly prime
G¨ul¸sah Ye¸silkurt, SERKAN ONAR, Deniz S¨onmez, Bayram Ersoy   +3 more
doaj   +1 more source

On rings of quotients of semiprime $\Gamma$-rings [PDF]

Miskolc Mathematical Notes, 2012
In this paper, we investigate the rings of quotients of a semiprime Gamma-ring.
Koc, Emine, Golbasi, Oznur
openaire   +3 more sources