@article{Generalized Strong Commutativity Preserving Centralizers of Semiprime Rings_2022, volume={57}, url={https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/6941}, abstractNote={Let R be a semiprime ring with center Z(R) and U be a nonzero ideal of R. An additive mappings are called right centralizer if ( ) ( ) and ( ) ( ) holds for all . In the present paper, we introduce the concepts of generalized strong commutativity centralizers preserving and generalized strong cocommutativity preserving centralizers and we prove that R contains a nonzero central ideal if any one of the following conditions holds: (i) ( ) ( ), (ii) [ ( ) ( )] , (iii) [ ( ) ( )] [ ], (iv) ( ) ( ) , (v) ( ) ( ) , (vi) [ ( ) ( )] , (vii) ( ) ( ) ( ), (viii) ( ) ( ) for all .}, number={3B}, journal={Iraqi Journal of Science}, year={2022}, month={Apr.}, pages={2079–2088} }