Results 51 to 60 of about 2,898 (193)

S-Semiprime Submodules and S-Reduced Modules

Journal of Mathematics, 2020
This article introduces the concept of S-semiprime submodules which are a generalization of semiprime submodules and S-prime submodules. Let M be a nonzero unital R-module, where R is a commutative ring with a nonzero identity.
Ayten Pekin, Ünsal Tekir, Özge Kılıç   +2 more
doaj   +1 more source

A note on a pair of derivations of semiprime rings

International Journal of Mathematics and Mathematical Sciences, 2004
We study certain properties of derivations on semiprime rings. The main purpose is to prove the following result: let R be a semiprime ring with center Z(R), and let f, g be derivations of R such that f(x)x+xg(x)∈Z(R) for all x∈R, then f and g are ...
Muhammad Anwar Chaudhry, A. B. Thaheem
doaj   +1 more source

Some Results on Reduced Rings

مجلة بغداد للعلوم, 2008
The main purpose of this paper is to study some results concerning reduced ring with another concepts as semiprime ring ,prime ring,essential ideal ,derivations and homomorphism ,we give some results a bout that.
Baghdad Science Journal
doaj   +1 more source

Functional equations related to higher derivations in semiprime rings

Open Mathematics, 2021
We investigate the additivity and multiplicativity of centrally extended higher derivations and show that every centrally extended higher derivation of a semiprime ring with no nonzero central ideals is a higher derivation.
Ezzat O. H.
doaj   +1 more source

Regular elements in semiprime rings [PDF]

Proceedings of the American Mathematical Society, 1968
In the proof of Goldie's theorem [1, Theorem 4.1], one of the crucial steps is to establish that every large right ideal contains a regular element [1, Theorem 3.9]. Recently, S. A. Amitsur told one of the authors he had proved, using the weaker conditions of the ACC on left and right annihilators, that every prime ring contains a left regular element ...
Johnson, R. E., Levy, L. S.
openaire   +2 more sources

Jordan ?-Centralizers of Prime and Semiprime Rings

مجلة بغداد للعلوم, 2010
The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R.
Baghdad Science Journal
doaj   +1 more source

Semiprime SF-rings whose essential left ideals are two-sided

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   +1 more source

Orthogonal Symmetric Higher bi-Derivations on Semiprime Г-Rings

مجلة بغداد للعلوم, 2019
Let M is a Г-ring. In this paper the concept of orthogonal symmetric higher bi-derivations on semiprime Г-ring is presented and studied and the relations of two symmetric higher bi-derivations on Г-ring are introduced.
Salih et al.
doaj   +1 more source

Rank of elements of general rings in connection with unit-regularity

, 2018
We define the rank of elements of general unital rings, discuss its properties and give several examples to support the definition. In semiprime rings we give a characterization of rank in terms of invertible elements.
Stopar, Nik
core   +1 more source

On Rings of Weak Global Dimension at Most One

Mathematics, 2021
A ring R is of weak global dimension at most one if all submodules of flat R-modules are flat. A ring R is said to be arithmetical (resp., right distributive or left distributive) if the lattice of two-sided ideals (resp., right ideals or left ideals) of
Askar Tuganbaev
doaj   +1 more source