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International Journal of Mathematics and Mathematical Sciences
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Generalized Derivations in Semiprime Gamma Rings

مشتقات معممة في خواتم جاما نصف برايم
Authors: Kalyan Kumar Dey; Akhil Chandra Paul; Isamiddin S. Rakhimov;

Generalized Derivations in Semiprime Gamma Rings

Abstract

LetMbe a 2-torsion-free semiprimeΓ-ring satisfying the conditionaαbβc=aβbαcfor alla,b,c∈M, α,β∈Γ, and letD:M→Mbe an additive mapping such thatD(xαx)=D(x)αx+xαd(x)for allx∈M, α∈Γand for some derivationdofM. We prove thatDis a generalized derivation.

Related Organizations
Keywords

Algebra and Number Theory, Deformations and Structures of Hom-Lie Algebras, Study of properties and structures of commutative rings, Cluster Algebras and Triangulated Categories, Generalizations, additive maps, semiprime \(\Gamma\)-rings, Computer science, generalized derivations, Derivations, Algorithm, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, Derivations, actions of Lie algebras, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Top 10%
Average
gold