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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In this paper the author considers a prime ring R with characteristic different from two and extends some well known results concerning derivations of prime rings to the generalized derivation f : R → R associated with a derivation d of R and a nonzero left ideal U of R which is semiprime as a ring.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper the author considers a prime ring R with characteristic different from two and extends some well known results concerning derivations of prime rings to the generalized derivation f : R → R associated with a derivation d of R and a nonzero left ideal U of R which is semiprime as a ring.
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Key Findings & Data:In this paper the author considers a prime ring R with characteristic different from two and extends some well known results concerning derivations of prime rings to the generalized derivation f : R → R associated with a derivation d of R and a nonzero left ideal U of R which is semiprime as a ring.
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Conclusion & Impact:In this paper the author considers a prime ring R with characteristic different from two and extends some well known results concerning derivations of prime rings to the generalized derivation f : R → R associated with a derivation d of R and a nonzero left ideal U of R which is semiprime as a ring.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Prime ring · Derivation · Generalized derivation
Abstract
In this paper the author considers a prime ring R with characteristic different from two and extends some well known results concerning derivations of prime rings to the generalized derivation f : R → R associated with a derivation d of R and a nonzero left ideal U of R which is semiprime as a ring.
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Cite This Article
Gölbaşı, Ö. (2005). ON LEFT IDEALS OF PRIME RINGS WITH GENERALIZED DERIVATIONS. Hacettepe Journal of Mathematics and Statistics, Volume: 34 Issue: 1. https://ajindex.com/articles/1403822