On Prime and Semiprime Rings with Symmetric Generalized Biderivations
The propose of this paper is to present some results concerning the symmetric generalized Biderivations when their traces satisfies some certain conditions on an ideal of prime and semiprime rings. We show that a semiprime ring R must have a nontrivial central ideal if it admits appropriate traces o...
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| Format: | Article |
| Language: | English |
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Mustansiriyah University
2017-11-01
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| Series: | Al-Mustansiriyah Journal of Science |
| Subjects: | |
| Online Access: | http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/321 |
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| author | Auday H. Mahmood Dheaa K. Hussain K. Hussein |
| author_facet | Auday H. Mahmood Dheaa K. Hussain K. Hussein |
| author_sort | Auday H. Mahmood |
| collection | DOAJ |
| description | The propose of this paper is to present some results concerning the symmetric generalized Biderivations when their traces satisfies some certain conditions on an ideal of prime and semiprime rings. We show that a semiprime ring R must have a nontrivial central ideal if it admits appropriate traces of symmetric generalized Biderivations, under similar hypothesis we prove commutativity in prime rings. |
| format | Article |
| id | doaj-art-edd3a6ee5e58454baaa21e18e97d4ac3 |
| institution | OA Journals |
| issn | 1814-635X 2521-3520 |
| language | English |
| publishDate | 2017-11-01 |
| publisher | Mustansiriyah University |
| record_format | Article |
| series | Al-Mustansiriyah Journal of Science |
| spelling | doaj-art-edd3a6ee5e58454baaa21e18e97d4ac32025-08-20T02:18:21ZengMustansiriyah UniversityAl-Mustansiriyah Journal of Science1814-635X2521-35202017-11-0128111211710.23851/mjs.v28i1.32176On Prime and Semiprime Rings with Symmetric Generalized BiderivationsAuday H. Mahmood0Dheaa K. Hussain K. Hussein1Department of Mathematics, College of Education, Mustansiriyah UniversityDepartment of Mathematics, College of Education, Mustansiriyah UniversityThe propose of this paper is to present some results concerning the symmetric generalized Biderivations when their traces satisfies some certain conditions on an ideal of prime and semiprime rings. We show that a semiprime ring R must have a nontrivial central ideal if it admits appropriate traces of symmetric generalized Biderivations, under similar hypothesis we prove commutativity in prime rings.http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/321Prime rings, Semiprime rings, symmetric generalized Biderivations, traces of biadditive maps. |
| spellingShingle | Auday H. Mahmood Dheaa K. Hussain K. Hussein On Prime and Semiprime Rings with Symmetric Generalized Biderivations Al-Mustansiriyah Journal of Science Prime rings, Semiprime rings, symmetric generalized Biderivations, traces of biadditive maps. |
| title | On Prime and Semiprime Rings with Symmetric Generalized Biderivations |
| title_full | On Prime and Semiprime Rings with Symmetric Generalized Biderivations |
| title_fullStr | On Prime and Semiprime Rings with Symmetric Generalized Biderivations |
| title_full_unstemmed | On Prime and Semiprime Rings with Symmetric Generalized Biderivations |
| title_short | On Prime and Semiprime Rings with Symmetric Generalized Biderivations |
| title_sort | on prime and semiprime rings with symmetric generalized biderivations |
| topic | Prime rings, Semiprime rings, symmetric generalized Biderivations, traces of biadditive maps. |
| url | http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/321 |
| work_keys_str_mv | AT audayhmahmood onprimeandsemiprimeringswithsymmetricgeneralizedbiderivations AT dheaakhussainkhussein onprimeandsemiprimeringswithsymmetricgeneralizedbiderivations |