Results 31 to 40 of about 677,100 (167)

A note on Jordan left *-centralizers on prime and semiprime rings with involution

Journal of Taibah University for Science, 2017
The aim of this note is to give alternative and short proofs for some results to Ali et al. in [3] by using the relationship between the concepts of Jordan left *-centralizer and right centralizer on a 2-torsion free semiprime rings endowed with ...
M.S. Tammam El-Sayiad, N.M. Muthana, Z.S. Alkhamisi   +2 more
doaj   +1 more source

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   +1 more source

DERIVATIONS OF PRIME AND SEMIPRIME RINGS [PDF]

Journal of the Korean Mathematical Society, 2009
Let R be a prime ring, I a nonzero ideal of R, d a derivation of R and n a fixed positive integer. (i) If (d(x)y+xd(y)+d(y)x+yd(x)) n = xy + yx for all x,y 2 I, then R is commutative. (ii) If charR 6 2 and (d(x)y + xd(y) + d(y)x + yd(x)) n i (xy + yx) is central for all x,y 2 I, then R is commutative.
Argac, Nurcan, Inceboz, Hulya G.
openaire   +2 more sources

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

Fuzzy semiprime ideals in Gamma-rings

, 2010
In this paper, T. K. Dutta's and S. K. Sardar's semiprime ideal of Gamma-rings as a fuzzy semiprime ideal of a Gamma-rings via its operator rings was defined. Some characterizations of fuzzy semiprime ideal of Gamma-rings was obtained.
Ersoy, Bayram Ali
core   +2 more sources

On Centrally Prime and Centrally Semiprime Rings [PDF]

, 2008
In this paper, centrally prime and centrally semiprime rings are defined and the relations between these two rings and prime (resp. semiprime) rings are studied.Among the results of the paper some conditions are given under which prime (resp.
Abdularahman Majeed, Adil Jabbar
core   +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

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

Centralizers on semiprime rings [PDF]

, 2001
summary:The main result: Let $R$ be a $2$-torsion free semiprime ring and let $T:R\rightarrow R$ be an additive mapping. Suppose that $T(xyx) = xT(y)x$ holds for all $x,y\in R$.
Vukman, Joso
core   +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