Results 11 to 20 of about 1,324,184 (168)

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   +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   +3 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   +3 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   +3 more sources

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   +2 more sources

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

A Characterization of Semiprime Rings with Homoderivations

Journal of New Theory, 2023
This paper is focused on the commutativity of the laws of semiprime rings, which satisfy some algebraic identities involving homoderivations on ideals. It provides new and notable results that will interest researchers in this field, such as “R contains ...
Emine Koç Sögütcü
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, Vukman Joso   +2 more
exaly   +3 more sources

Centrally Extended α‐Homoderivations on Prime and Semiprime Rings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
We present a new type of mappings called centrally extended α‐homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies H(x + y) − H(x) − H(y) ∈ Z(ℜ) and H(xy) − H(x)H(y) − H(x)α(y) − α(x)H(y) ∈ Z(ℜ) for any x, y ∈ ℜ) where α is a mapping ...
Mahmoud M. El-Soufi, A. Ghareeb
semanticscholar   +2 more sources

Semiprime rings with generalized homoderivations

Boletim da Sociedade Paranaense de Matemática, 2022
This study develops some results involving generalized homoderivation in semiprime rings and investigates the commutativity of semiprime rings admitting generalized homoderivations of ring R satisfying certain identities and some related results have ...
A. Boua, Emine Koc Sogutcu
semanticscholar   +4 more sources