Results 101 to 110 of about 852 (157)
A Note on Semiprime Rings with Torsionless Injective Envelope
, 1973 Satyanarayana establishes in [6] that a semiprime right selfinjective ring with ACC on annihilator right ideals is semisimple Artinian, thereby extending a similar result of Koh [5] for prime rings.
Efraim P. Armendariz
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Lie Ideals and Homoderivations in Semiprime Rings
MathematicsLet S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting
Ali Yahya Hummdi +4 more
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Identities with derivations and automorphisms on semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative ...
Joso Vukman
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Notes on multiplicative generalized (σ, τ )-reverse derivations with Lie ideals of semiprime ∗-rings
This article is devoted to investigation into the notion of multiplicative generalized(σ,τ)-reverse derivations associated with(σ,τ)-reverse derivations of semiprime∗-rings is characterized.
Atteya, Mehsin, Atteya, Mehsin Jabel
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On certain pairs of functions of semiprime rings
, 1994 Let f f and g g be functions of a set S S into a semiprime ring R R . A necessary and sufficient condition for f f and g g to satisfy
Matej Brešar
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IDENTITIES WITH MULTIPLICATIVE GENERALIZED (α,α)-DERIVATIONS OF SEMIPRIME RINGS
Let R be a semiprime ring and α be an automorphism of R. A mapping F : R → R (not necessarily additive) is called multiplicative generalized (α,α)derivation if there exists a unique (α,α)-derivation d of R such that F(xy) = F(x)α(y) + α(x)d(y) for all x ...
Ayran, Ayşe +2 more
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Symmetric Reverse n-Derivations on Ideals of Semiprime Rings
AxiomsThis paper focuses on examining a new type of n-additive map called the symmetric reverse n-derivation. As implied by its name, it combines the ideas of n-additive maps and reverse derivations, with a 1-reverse derivation being the ordinary reverse ...
Shakir Ali +4 more
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Normalizing extensions of semiprime rings
, 2004 In this paper we study normalizing extensions of semiprime rings. For an extension S of R we construct the canonical torsion-free S ∗ , which is a normalizing extension of the symmetric ring of quotients Q of R.
Ferrero, Miguel Angel Alberto +1 more
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Center-like Subsets in Semiprime Rings with Multiplicative Derivations
AxiomsWe introduce center-like subsets Z∘*(A,d),Z∘**(A,d), where A is the ring and d is the multiplicative derivation. In the following, we take a new derivation for the center-like subsets existing in the literature and establish the relations between these ...
Sarah Samah Aljohani +2 more
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On nilpotent derivations of semiprime rings
, 1992 In this paper we study nilpotent derivations of semiprime rings. An associative derivation d: R → R is an additive mapping on a ring R satisfying d(xy) = d(x) y + xd(y) for all x, y ϵ R.
Grzeszczuk, Piotr
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