Results 81 to 90 of about 2,745 (167)

On the generalization of torsion functor and P-semiprime modules over noncommutative rings [PDF]

Journal of Hyperstructures
Let R be an associative Noetherian unital noncommutative ring R. We introduce the functor PΓP over the category of R-modules and use it to characterize P-semiprime. P-semisecond R-modules also characterized by the functor PΛP.
Teklemichael Bihonegn, Tilahun Abebaw, Nega Arega   +2 more
doaj   +1 more source

Generalized derivations with central values on lie ideals LIE IDEALS [PDF]

, 2014
Let R be a prime ring of H a generalized derivation and L a noncentral lie ideal of R. We show that if l^sH(l)l^t in Z(R) for all lin2 L, where s, t> 0 are fixed integers, then H(x) = bx for some b in C, the extended centroid of R, or R satisfies S4 ...
Rahmani, Venus, Sahebi, Shervin
core  

Jordan derivations on semiprime rings [PDF]

Proceedings of the American Mathematical Society, 1988
I. N. Herstein has proved that any Jordan derivation on a 2 2 -torsion free prime ring is a derivation. In this paper we prove that Herstein’s result is true in 2 2 -torsion free semiprime rings. This result makes it possible for us to prove that any linear Jordan derivation on a semisimple Banach algebra is continuous,
openaire   +2 more sources

On rigid derivations in rings

Karpatsʹkì Matematičnì Publìkacìï, 2014
We prove that in a ring $R$ with an identity there exists an element $a\in R$ and a nonzero derivation $d\in Der R$ such that $ad(a)\neq 0$. A ring $R$ is said to be a $d$-rigid ring for some derivation $d \in Der R$ if  $d(a)=0$ or $ad(a)\neq 0$ for all
O.D. Artemovych, M.P. Lukashenko
doaj   +1 more source

On graded weakly $ J_{gr} $-semiprime submodules

AIMS Mathematics
Let $ \Gamma $ be a group, $ \mathcal{A} $ be a $ \Gamma $-graded commutative ring with unity $ 1, $ and $ \mathcal{D} $ a graded $ \mathcal{A} $-module.
Malak Alnimer , Khaldoun Al-Zoubi, Mohammed Al-Dolat   +2 more
doaj   +1 more source

COMMUTING AND 2-COMMUTING DERIVATIONS OF SEMIPRIME RINGS

Journal of Kufa for Mathematics and Computer, 2012
The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R, we obtain a derivation d is commuting  and 2-commuting on R.
Mehsin Jabel Atteya, Dalal Ibraheem Resan   +1 more
doaj   +1 more source

Generalized derivations in prime and semiprime

Boletim da Sociedade Paranaense de Matemática, 2016
Let $R$ be a prime ring, $I$ a nonzero ideal of $R$ and $m, n$  fixed positive integers.  If $R$ admits a generalized derivation $F$ associated with a  nonzero derivation $d$ such that $(F([x,y])^{m}=[x,y]_{n}$ for  all $x,y\in I$, then $R$ is ...
Shuliang Huang, Nadeem ur Rehman
doaj   +1 more source

On Fully Semiprime Submodules and Fully Semiprime Modules

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
   Let R be a commutative ring with unity and let M be a unitary R-module. In this paper we study fully semiprime submodules and fully semiprime modules, where a proper fully invariant R-submodule W of M is called fully semiprime in M if whenever Xï ...
I.M.A. Hadi, B.N. Shihab
doaj  

A note on semiprime rings with derivation [PDF]

International Journal of Mathematics and Mathematical Sciences, 1996
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.
openaire   +3 more sources

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