Results 1 to 10 of about 180 (136)
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Nadiya Gubareni
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On Centrally Semiprime Rings and Centrally Semiprime [PDF]
In this paper, two new algebraic structures are introduced which we call a centrally semiprime ring and a centrally semiprime right near-ring, and we look for those conditions which make centrally semiprime rings as commutative rings, so that several ...
Adil Kadir Jabbar +1 more
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Commutativity with Derivations of Semiprime Rings
Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
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Generalized Derivations in Semiprime Gamma Rings [PDF]
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 +2 more
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On Centrally Prime and Centrally Semiprime Rings [PDF]
In this paper, centrally prime and centrally semiprime rings are defined and the relations between these two rings and prime (resp. semiprime) rings are studied.Among the results of the paper some conditions are given under which prime (resp.
Adil Jabbar, Abdularahman Majeed
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A Characterization of Semiprime Rings with Homoderivations
This paper is focused on the commutativity of the laws of semiprime rings, which satisfy some algebraic identities involving homoderivations on ideals. It provides new and notable results that will interest researchers in this field, such as “R contains ...
Emine Koç Sögütcü
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Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
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AbstractSome properties of v-semiprime (v = 0, 1, 2) near-rings are pointed out. In particular v semiprime near-rings which contain nil non-nilpotent ideals are studied.
S. De Stefano, S. Di Sieno
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Free actions on semiprime rings [PDF]
Summary: We identify some situations where mappings related to left centralizers, derivations and generalized \((\alpha,\beta)\)-derivations are free actions on semiprime rings. We show that for a left centralizer, or a derivation \(T\), of a semiprime ring \(R\) the mapping \(\psi\colon R\to R\) defined by \(\psi(x)=T(x)x-xT(x)\) for all \(x\in R\) is
Chaudhry, Muhammad Anwar +1 more
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On centralizers of semiprime rings [PDF]
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Vukman, Joso, Kosi-Ulbl, Irena
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