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On Prime and Semiprime Rings with Symmetric Generalized Biderivations | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 28, Issue 1, 2017, Pages 113-118 | ||
| Author | ||
| Auday H. Mahmood | ||
| Abstract | ||
| 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. | ||
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