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Vol2 Paper 21

posted Aug 27, 2018, 12:11 AM by Yaseen Raouf Mohammed   [ updated Sep 4, 2018, 2:14 AM ]
 SOME PROPERTIES OF ADDITIVE MAPPINGS AND Α-DERIVATIONS OF CENTRALLY SEMIPRIME RINGS.


 Adil Kadir Jabbar

 Department of Mathematics, College of Science, University of Sulaimani, Sulaimani-Iraq.

 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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