On Prime and Semiprime Rings with Symmetric Generalized Biderivations | Zendy

Auday Hekmat Mahmood | Zendy; Dheaa K. Hussain K. Hussein | Zendy

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On Prime and Semiprime Rings with Symmetric Generalized Biderivations

Author(s) -

Auday Hekmat Mahmood,

Dheaa K. Hussain K. Hussein

Publication year - 2017

Publication title -

al-mustansiriyah journal of science

Language(s) - English

Resource type - Journals

eISSN - 2521-3520

pISSN - 1814-635X

DOI - 10.23851/mjs.v28i1.321

Subject(s) - semiprime ring , semiprime , mathematics , prime (order theory) , commutative property , ideal (ethics) , pure mathematics , ring (chemistry) , commutative ring , associated prime , discrete mathematics , combinatorics , law , political science , chemistry , organic chemistry

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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