On Prime and Semiprime Rings with Symmetric Generalized Biderivations


  • Auday H. Mahmood Department of Mathematics, College of Education, Mustansiriyah University
  • Dheaa K. Hussain K. Hussein Department of Mathematics, College of Education, Mustansiriyah University




Prime rings, Semiprime rings, symmetric generalized Biderivations, traces of biadditive maps.


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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Original Article

How to Cite

A. H. Mahmood and D. K. H. K. Hussein, “On Prime and Semiprime Rings with Symmetric Generalized Biderivations”, Al-Mustansiriyah Journal of Science, vol. 28, no. 1, pp. 112–117, Nov. 2017, doi: 10.23851/mjs.v28i1.321.

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