Results 71 to 80 of about 175 (133)
Some Results of Prime And Semiprime Rings With Derivations
مجلة بغداد للعلوم, 2005 The main purpose of this paper is to study prime and semiprime rings admitting a derivation d satisfying new conditions when d acts as homomorphism on non-zero ideal.
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Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings
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 +2 more
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Weakly Prime and Weakly Semiprime Fuzzy Ideals
Journal of Al-Nahrain University Science, 2011 In this paper we introduce the notion of weakly prime (weakly semiprime) fuzzy ideals of fuzzy ring as a generalization of weakly prime (weakly semiprime) ideals. We investiagate several characterizations and properties of these concepts.
Inaam M.A. Hadi, Maysoun A. Hamil
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A Generalization of Source of Semiprimeness
Journal of New TheoryThis paper characterizes the semigroup ideal $\mathcal{L}_{R}^{n}(I)$ of a ring $R$, where $I$ is an ideal of $R$, defined by $\mathcal{L}_{R}^{0}(I)=I$ and $\mathcal{L}_{R}^{n}(I)=\{a\in R \mid aRa\subseteq \mathcal{L}_{R}^{n-1}(I)\}$, for all $n\in ...
Çetin Camcı +3 more
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Dependent Elements of Derivations on Semiprime Rings
International Journal of Mathematics and Mathematical Sciences, 2009 We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d.
Faisal Ali, Muhammad Anwar Chaudhry
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On Completely Semiprime, Semiprime And Prime Fuzzy Ideals In Ordered Semigroups
, 2011 In this paper, we first introduce the new concept of completely semiprime fuzzy ideals of an ordered semigroup S, which is an extension of completely semiprime ideals of ordered semigroup S, and investigate some its related properties. Especially, we characterize an ordered semigroup that is a semilattice of simple ordered semigroups in terms of ...
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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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Remarks on derivations on semiprime rings
International Journal of Mathematics and Mathematical Sciences, 1992 We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(xy)=yx+d(yx) for all x, y in R, or (ii) xy−d(xy)=yx−d(yx) for all x, y in R.
Mohamad Nagy Daif, Howard E. Bell
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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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