Results 101 to 110 of about 2,745 (167)
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a prime ring of characteristic not 2, U a nonzero ideal of R and 0≠da(α,β)-derivation of R where α and β are automorphisms of R. i) [d(U),a]=0 then a∈Z ii) For a,b∈R, the following conditions are equivalent (I) α(a)d(x)=d(x)β(b), for all x∈U ...
Neşet Aydin
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Multiplicativity of left centralizers forcing additivity
Boletim da Sociedade Paranaense de Matemática, 2014 A multiplicative left centralizer for an associative ring R is a map satisfying T(xy) = T\(x)y for all x,y in R. T is not assumed to be additive. In this paper we deal with the additivity of the multiplicative left centralizers in a ring which contains ...
Mohammad Sayed Tammam El-Sayiad +2 more
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Semiprime rings with nilpotent Lie ring of inner derivations
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2014 We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions.
Kamil Kular
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Extracta Mathematicae, 2020 If M is a torsion-free module over an integral domain, then we show that for each submodule N of M the envelope EM (N ) of N in M is an essential extension of N. In particular, if N is divisible then EM (N ) = N .
S.C. Lee, R. Varmazyar
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Strong Commutativity Preserving Maps of Semiprime Rings [PDF]
, 1994 Matej Brešar, C. Robert Miers
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A Some Results on Double Cenralizer for Prime and Semiprime Г- rings
Ibn Al-Haitham Journal for Pure and Applied SciencesThe goal of this work, is to examine the concept of a double centralizer, and double Jordan centralizer on prime and semiprime Г-rings, this is done by studying examples, remarks and results related to that concepts and looking for the ...
Aya Hussein +3 more
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Goldie criteria for some semiprime rings [PDF]
, 1991 Ken A. Brown, B. A. F. Wehrfritz
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Source of semiprimeness of $\ast$-prime rings
Journal of Amasya University the Institute of Sciences and TechnologyThis study constructs a structure $S_{R}^{\ast}$ that had never been studied before and obtained new results by defining a subset $S_{R}^{\ast}$ of $R$ as$S_{R}^{\ast}=\left\{ \left.
Barış Albayrak +2 more
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Automorphisms and derivations in prime rings [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1999 Let R be a non-commutative ring, I a non-zero two-sided ideal of R and f a mapping on R such that f([x, y])−[x, y] is zero or invertible for every x, y ∈ I. If R is a prime ring and f a non-trivial automorphism or a non-zero derivation on R then either R
Vincenzo De Filippis
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