Jordan Bi- (Homomorphism, Left (Right) α-Centralizer) Mappings on a Prime Rings
DOI:
https://doi.org/10.29304/jqcsm.2026.18.12583Keywords:
Homomorphism, Left bi-centralizer ,Left bi-triple centralizer, Prime-ringAbstract
In this paper, we focus on the study of some classes of bi-derivation. In addition, there are new concepts that have been introduced, including functions bi- (homomorphism, α-centralizer) and Jordan bi- (homomorphism, α-centralizer) on the prime ring R × R, particularly with reference to the elementary rings' permutation structure L = R × R. The concepts of bi- (homomorphism, left (right) α-centralizer), Jordan bi- (homomorphism, left (right) α-centralizer), and triple bi- (homomorphism, left(right) α-centralizer) within the prime ring L are also introduced. Furthermore, we investigate an important condition that states if the ring is 2-torsion free ring, then any Jordan bi- (homomorphism, left α-centralizer) on L is necessarily a Jordan triple bi- (homomorphism, left α-centralizer).
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Copyright (c) 2026 Mohammed Baqeer Khadhim, Auday Hekmat Mahmood
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