Results 91 to 100 of about 918,603 (135)

Some Commutativity Theorems on Lie Ideals of Semiprime Rings

, 2020
Bu çalışmada, 2 −torsion free bir yarıasal halkasının kare kapalı merkezi olmayan bir Lie idealinin, halkanın sıfırdan farklı bir idealini kapsadığı gösterilecektir.
Gölbaşı, Öznur, Bedir, Zeliha
core  

Semiprime Rings with Hypercentral Derivations

, 1995
LetRbe a semiprime ring with a derivationd, λ a left ideal ofRandk, ntwo positive integers. Suppose that[d(xn),xn]k= 0 for allx∊ λ. Then [λ,R]d(R)= 0.
Tsiu-Kwen Lee
core   +1 more source

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   +1 more source

Remarks on derivations on semiprime rings

International Journal of Mathematics and Mathematical Sciences, 1992
We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(xy)=yx+d(yx) for all x, y in R, or (ii) xy−d(xy)=yx−d(yx) for all x, y in R.
Mohamad Nagy Daif, Howard E. Bell
doaj   +1 more source

A Some Results on Double Cenralizer for Prime and Semiprime Г- rings

Ibn Al-Haitham Journal for Pure and Applied Sciences
             The goal of this work, is to examine the concept of a double centralizer, and double Jordan centralizer on prime and semiprime Г-rings, this is done by studying examples, remarks and results related to that concepts and looking for the ...
Aya Hussein, Abdulahman H. Majeed , Shrooq Bahjat Smeein , Azza I.M.S. Abu-Shams   +3 more
doaj   +1 more source

A study of derivable mappings of semiprime rings

, 2018
Throughout this note, \(R\) denotes an associative ring and \(C(R)\) be the center of \(R\). In this paper, it isproved that a non-central Lie ideal \(L\) of a semiprime ring \(R\) contains a nonzero ideal of \(R\) and this result isused to obtain ...
Deepak Kumara, Gurninder S. Sandhu
core   +1 more source

On Generalized Derivations of Semiprime Rings

, 2010
The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R , we obtain R contains a non-zero central ideal .
Mehsin Jabel Atteya
core  

On Jordan Structure in Semiprime Rings

, 1976
A remarkable theorem of Herstein [1, Theorem 2] of which we have made several uses states: If R is a semiprime ring of characteristic different from 2 and if U is both a Lie ideal and a subring of R then either U ⊂ Z (the centre of R) or U contains a ...
Ram Awtar
core   +1 more source

Some Identities Related to Semiprime Ideal of Rings with Multiplicative Generalized Derivations

This paper investigates the relationship between the commutativity of rings and the properties of their multiplicative generalized derivations. Let F be a ring with a semiprime ideal Π. A map ϕ:F→F is classified as a multiplicative generalized derivation
Hummdi, Ali Yahya, Emine Koç Sögütcü, Öznur Gölbaşı, Ali Yahya Hummdi, Nadeem ur Rehman, Rehman, Nadeem ur, Golbasi, Oznur, Sogutcu, Emine Koc, Gölbaşı, Öznur, Koç Sögütcü, Emine   +9 more
core   +1 more source

Crossed products over semiprime rings

, 2014
Let R ß G denote a crossed product of the group G over the ring R. In this paper we obtain conditions on R and G which insure that R * G is semiprime under the assumption that R is semiprime.
Arh L So A, D. S. Passman
core