Results 91 to 100 of about 1,149,018 (192)

Endomorphism rings of modules over prime rings [PDF]

, 2012
Endomorphism rings of modules appear as the center of a ring, as the fix ring of ring with group action or as the subring of constants of a derivation. This note discusses the question whether certain *-prime modules (introduced by Bican et al.) have a ...
Baziar, Mohammad, Lomp, Christian
core  

Generalized Derivations in Semiprime Gamma Rings

International Journal of Mathematics and Mathematical Sciences, 2012
Let M be a 2-torsion-free semiprime Γ-ring satisfying the condition aαbβc=aβbαc for all a,b,c∈M,  α,β∈Γ, and let D:M→M be an additive mapping such that D(xαx)=D(x)αx+xαd(x) for all x∈M,  α∈Γ and for some derivation d of M.
Kalyan Kumar Dey, Akhil Chandra Paul, Isamiddin S. Rakhimov   +2 more
doaj   +1 more source

Jordan superderivations. II

International Journal of Mathematics and Mathematical Sciences, 2004
In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras. In the present paper we extend this result to semiprime associative superalgebras.
Maja Fošner
doaj   +1 more source

On symmetric biadditive mappings of semiprime rings

Boletim da Sociedade Paranaense de Matemática, 2017
Let R be a ring with centre Z(R). A mapping D(., .) : R× R −→ R is said to be symmetric if D(x, y) = D(y, x) for all x, y ∈ R. A mapping f : R −→ R defined by f(x) = D(x, x) for all x ∈ R, is called trace of D. It is obvious that in the case D(., .) : R ×
Asma Ali, Khalid Ali Hamdin, Shahoor Khan   +2 more
doaj   +1 more source

Ring Endomorphisms with Large Images [PDF]

, 2012
The notion of ring endomorphisms having large images is introduced. Among others, injectivity and surjectivity of such endomorphisms are studied. It is proved, in particular, that an endomorphism S of a prime one-sided noetherian ring R is injective ...
Leroy, André, Matczuk, Jerzy
core   +2 more sources

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 GENERALIZED ERIVATIONS OF SEMIPRIME NEAR-RINGS

Journal of Kufa for Mathematics and Computer, 2012
The  main purpose of this paper is to study and investigate concerning a generalized derivations on semiprime  near- rings,we give some results when N admsit to satisfy some conditions on 3-semiprime  near- rings and 3-prime near-ring N ,we give some
Mehsin Jabel Atteya, Dalal Ibraheem Resan   +1 more
doaj   +1 more source

A Generalization of Source of Semiprimeness

Journal of New Theory
This paper characterizes the semigroup ideal $\mathcal{L}_{R}^{n}(I)$ of a ring $R$, where $I$ is an ideal of $R$, defined by $\mathcal{L}_{R}^{0}(I)=I$ and $\mathcal{L}_{R}^{n}(I)=\{a\in R \mid aRa\subseteq \mathcal{L}_{R}^{n-1}(I)\}$, for all $n\in ...
Çetin Camcı, Rasie Mekera, Didem Karalarlıoğlu Camcı, Didem Yeşil   +3 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 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
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