Results 71 to 80 of about 59,526 (169)
A note on multiplicative (generalized)-skew derivation on semiprime rings
Journal of Taibah University for Science, 2018 In this article, we study multiplicative (generalized)-skew derivation G and multiplicative left centralizer H satisfying certain conditions in semiprime rings.
Nadeem ur Rehman, Mohammad Shadab Khan
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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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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
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Jordan triple (α,β)-higher ∗-derivations on semiprime rings
Demonstratio Mathematica, 2023 In this article, we define the following: Let N0{{\mathbb{N}}}_{0} be the set of all nonnegative integers and D=(di)i∈N0D={\left({d}_{i})}_{i\in {{\mathbb{N}}}_{0}} a family of additive mappings of a ∗\ast -ring RR such that d0=idR{d}_{0}=i{d}_{R}. DD is
Ezzat O. H.
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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 +2 more
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Prime Structures in a Morita Context [PDF]
Bol. Soc. Mat. Mex. 26, 991-1001 (2020), 2018 In this paper, we study on the primeness and semiprimeness of a Morita context related to the rings and modules. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal. In particular, we determine the conditions under which a Morita context is prime and semiprime.
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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,
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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 +2 more
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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 +1 more
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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 +1 more
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