Results 81 to 90 of about 852 (157)

A remark on centralizers in semiprime rings

Glasnik matematički, 2004
The purpose of this paper is to prove the following result: Let m 1, n 1 be fixed integers and let R be a (m + n + 2)!-torsion free semiprime ring with the identity element. Suppose there exists an additive mapping T : R R, such that T(xm+n+1) = xm T(x) xn holds for all x R. In this case T is a centralizer.
openaire   +3 more sources

A NOTE ON CENTRALIZERS IN SEMIPRIME RINGS

Demonstratio Mathematica, 2005
Summary: The purpose of this paper is to prove the following result: Let \(R\) be a \((m+n+2)!\) and \(3m^2n+3mn^2+4m^2+4n^2+10mn\)-torsion free semiprime ring with an identity element and let \(T\colon R\to R\) be an additive mapping such that \[ 3T(x^{m+n+1})=T(x)x^{m+n}+x^mT(x)x^n+x^{m+n}T(x) \] is fulfilled for all \(x\in R\) and some fixed ...
openaire   +2 more sources

On Jordan Triple α-*Centralizers Of Semiprime Rings

Demonstratio Mathematica, 2014
Let R be a 2-torsion free semiprime ring equipped with an involution *. An additive mapping T : R→R is called a left (resp. right) Jordan α-*centralizer associated with a function α: R→R if T(x2)=T(x)α(x*) (resp. T(x2)=α(x*)T(x)) holds for all x ∊ R.
Ashraf Mohammad, Mozumder Muzibur Rahman, Khan Almas   +2 more
doaj   +1 more source

Permuting Triderivations of Prime and Semiprime Rings

, 2017
The purpose of this paper is to prove some results concerning permuting triderivations and permuting generalized triderivations on prime and semiprime rings which partially extend some results contained in [9] and [10]
Yazarli, Hasret, Hasret Yazarli
core   +1 more source

SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]

, 2002
An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
core   +1 more source

Hyperideal theory in ordered Krasner hyperrings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
doaj   +1 more source

On Centralizing and Strong Commutativity Preserving Maps of Semiprime Rings

, 2015
We study some properties of centralizing and strong commutativity preserving maps of semiprime ...
Huang, Sh., Golbasi, ÖZNUR, Koc, EMİNE
core   +1 more source

A note on semiprime rings with derivation

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a derivation. If d[x,y]+[x,y]∈Z or d[x,y]−[x,y]∈Z for all x, y∈I, then R is commutative.
Motoshi Hongan
doaj   +1 more source

On functional identities involving n-derivations in rings [PDF]

Journal of Mahani Mathematical Research
In this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings.
Vaishali Varshney, Shakir Ali, Naira Noor Rafiquee, Kok Wong   +3 more
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