Results 1 to 10 of about 46 (46)
On multiplicative centrally-extended maps on semi-prime rings
Journal of Taibah University for Science, 2022 In this paper, we show that for semi-prime rings of two-torsion free and 6-centrally torsion free, given a multiplicative centrally-extended derivation δ and a multiplicative centrally-extended epimorphism ϕ we can find a central ideal K and maps ...
M. S. Tammam EL-Sayiad, A. Ageeb
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A Result on Prime Rings with Generalized Derivations
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper we investigate the following result. Let R be a prime ring, Q its symmetric Martindale quotient ring, C its extended centroid, I a nonzero ideal of R.
Shujat Faiza, Khan Shahoor
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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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Commutativity with Derivations of Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2020 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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Commutativity of Prime Rings with Symmetric Biderivations
Discussiones Mathematicae - General Algebra and Applications, 2018 The present paper shows some results on the commutativity of R: Let R be a prime ring and for any nonzero ideal I of R, if R admits a biderivation B such that it satisfies any one of the following properties (i) B([x, y], z) = [x, y], (ii) B([x, y], m) +
Reddy B. Ramoorthy, Reddy C. Jaya Subba
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A Note on Multiplicative (Generalized) (α, β)-Derivations in Prime Rings
Annales Mathematicae Silesianae, 2019 Let R be a prime ring with center Z(R). A map G : R →R is called a multiplicative (generalized) (α, β)-derivation if G(xy)= G(x)α(y)+β(x)g(y) is fulfilled for all x; y ∈ R, where g : R → R is any map (not necessarily derivation) and α; β : R → R are ...
Rehman Nadeem ur +2 more
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On Jordan ideals and left (θ, θ)‐derivations in prime rings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 37, Page 1957-1964, 2004., 2004 Let R be a ring and S a nonempty subset of R. Suppose that θ and ϕ are endomorphisms of R. An additive mapping δ : R → R is called a left (θ, ϕ)‐derivation (resp., Jordan left (θ, ϕ)‐derivation) on S if δ(xy) = θ(x)δ(y) + ϕ(y)δ(x) (resp., δ(x2) = θ(x)δ(x) + ϕ(x)δ(x)) holds for all x, y ∈ S.
S. M. A. Zaidi +2 more
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A commutativity‐or‐finiteness condition for rings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 54, Page 2863-2865, 2004., 2004 We show that a ring with only finitely many noncentral subrings must be either commutative or finite.
Abraham A. Klein, Howard E. Bell
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Weakly periodic and subweakly periodic rings
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 33, Page 2097-2107, 2003., 2003 Our objective is to study the structure of subweakly periodic rings with a particular emphasis on conditions which imply that such rings are commutative or have a nil commutator ideal. Related results are also established for weakly periodic (as well as periodic) rings.
Amber Rosin, Adil Yaqub
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A combinatorial commutativity property for rings
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 525-530, 2002., 2002 We study commutativity in rings R with the property that for a fixed positive integer n, xS = Sx for all x ∈ R and all n‐subsets S of R.
Howard E. Bell, Abraham A. Klein
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