posted Aug 27, 2018, 12:11 AM by Yaseen Raouf Mohammed
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updated Sep 4, 2018, 2:14 AM
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SOME PROPERTIES OF ADDITIVE MAPPINGS AND ΑDERIVATIONS OF CENTRALLY SEMIPRIME RINGS.
Adil Kadir Jabbar
Department of Mathematics, College of Science, University of Sulaimani, SulaimaniIraq.
Farhad Rafiq Krush
Directorate of Education of Sulaimani District West.
ABSTRACT
In this paper some conditions are obtained under which certain elements and certain ideals of a ring R become central elements and central ideals and some other conditions are determined which make a given additive mapping of a centrally semiprime ring as a derivation. Also, certain types of additive mapping have been studied such as, reverse derivations, Jordan derivations and α − derivations and some properties of each one are proved and the relations between them are established.
Keywords:
Semiprime rings, centrally semiprime rings, n − torsion free ring and free actions,derivations, reverse derivations, α − derivations and Jordan centralizers.
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