Results 1 to 10 of about 4,055 (200)

On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals [PDF]

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   +4 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

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   +4 more sources

Semiprime Novikov algebras [PDF]

International Journal of Algebra and Computation, 2022
We study prime and semiprime Novikov algebras. We prove that prime nonassociative Novikov algebra has zero nucleus and center. It is well known that an ideal of an alternative (semi)prime algebra is (semi)prime algebra.
A. Panasenko
semanticscholar   +4 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

On (m, n)-semiprime submodules [PDF]

Proceedings of the Estonian Academy of Sciences, 2021
This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is a generalization of semiprime submodule. Let M be a unital A-module and m, n ∈ N.
Ayten Pekin, Suat Koç, Emel Aslankarayiğit Uğurlu   +2 more
doaj   +3 more sources

Semiprime SF-rings whose essential left ideals are two-sided [PDF]

International Journal of Mathematics and Mathematical Sciences, 1994
It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat? In this note, we give a positive answer to the question.
Zhang Jule, Du Xhianneng
doaj   +2 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   +2 more sources

Graded semiprime multiplication modules

, 2020
Let M be a G-graded R-module. In this article, we introduce the concept of graded semiprime multiplication modules. A graded R-module M is said to be graded semiprime multiplication if M has no graded semiprime R-submodules or for every graded semiprime ...
Rashid Abu-Dawwas
openalex   +3 more sources

The wreath product of semiprime skew braces is semiprime [PDF]

Communications in Algebra, 2019
In this note, we show that the wreath product of two semiprime skew braces is also a semiprime skew brace.
Patrick I. Kinnear
semanticscholar   +4 more sources