Results 91 to 100 of about 297,264 (123)
On the structure of semiprime rings
The structure of prime rings has recently been studied by A. W. Goldie, R. E. Johnson, L. Lesieur and R. Croisot. In their main results some sort of finiteness assumption is invariably made.
Augusto H. Ortiz
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Normalizing extensions of semiprime rings
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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A Note on Semiprime Rings with Torsionless Injective Envelope
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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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
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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Symmetric Reverse n-Derivations on Ideals of Semiprime Rings
This 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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Emerging trends in soft set theory and related topics. [PDF]
Feng F +3 more
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Center-like Subsets in Semiprime Rings with Multiplicative Derivations
We 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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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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Some Commutativity Theorems on Lie Ideals of Semiprime Rings
Bu çalışmada, 2 −torsion free bir yarıasal halkasının kare kapalı merkezi olmayan bir Lie idealinin, halkanın sıfırdan farklı bir idealini kapsadığı gösterilecektir.
Gölbaşı, Öznur, Bedir, Zeliha
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