Results 1 to 10 of about 2,844 (181)

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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A note on Jordan left *-centralizers on prime and semiprime rings with involution [PDF]

Journal of Taibah University for Science, 2017
The aim of this note is to give alternative and short proofs for some results to Ali et al. in [3] by using the relationship between the concepts of Jordan left *-centralizer and right centralizer on a 2-torsion free semiprime rings endowed with ...
M.S. Tammam El-Sayiad, N.M. Muthana, Z.S. Alkhamisi   +2 more
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On Centrally Semiprime Rings and Centrally Semiprime [PDF]

Kirkuk Journal of Science, 2008
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, Abdulrahman Hamed Majeed   +1 more
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D-Semiprime Rings

European Journal of Pure and Applied Mathematics
Let R be an associative and 2-torsion-free ring with an identity. in this work, we will generalize the results of differentially prime rings in [18] by applying the hypotheses in a differentially semiprime rings. In particular, we have proved that if R is a D-semiprime ring, then either R is a commutative ring or D is a semiprime ring.
Maram Alosaimi, Ahmad Alkhalaf, Rohaidah Masri, Iman Taha   +3 more
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Centralizing Mappings of Semiprime Rings [PDF]

Canadian Mathematical Bulletin, 1987
AbstractLet R be a ring with center Z, and S a nonempty subset of R. A mapping F from R to R is called centralizing on S if [x, F(x)] ∊ Z for all x ∊ S. We show that a semiprime ring R must have a nontrivial central ideal if it admits an appropriate endomorphism or derivation which is centralizing on some nontrivial one-sided ideal.
Howard E. Bell, Wallace S. Martindale
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Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2014
Let R be a 2-torsion free ring and let L be a noncentral Lie ideal of R, and let F:R→R and G:R→R be two generalized derivations of R. We will analyse the structure of R in the following cases: (a) R is prime and F(um)=G(un) for all u∈L and fixed ...
Vincenzo De Filippis, Nadeem UR Rehman, Abu Zaid Ansari   +2 more
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Regular Elements in Semiprime Rings [PDF]

Proceedings of the American Mathematical Society, 1968
In the proof of Goldie's theorem [1, Theorem 4.1], one of the crucial steps is to establish that every large right ideal contains a regular element [1, Theorem 3.9]. Recently, S. A. Amitsur told one of the authors he had proved, using the weaker conditions of the ACC on left and right annihilators, that every prime ring contains a left regular element ...
R. E. Johnson, L. S. Levy
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Quasi-semiprime Modules

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023
    Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever   is a Prime Ideal For proper submodule N of  B,then B is called Quasi ...
Muntaha Abdul- Razaq Hasan
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On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings

Journal of New Theory, 2022
The algebraic properties and identities of a semiprime ring are investigated with the help of the multiplicative (generalised)-(α, α)-reverse derivation on the non-empty ideal of the semiprime ring.
Neşet Aydın, Handan Karahan, Didem Yeşil   +2 more
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On Centrally Prime and Centrally Semiprime Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2008
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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