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Generalized Derivations Acting as Homomorphismand Anti-Homomorphism on Lie Ideals of Prime Rings

M. M. Rahman
Department of Mathematics
Jagannath University
Dhaka (Bangladesh)

Md. Mosharaf Hossain
Department of CSE
Sheikh Fazilatunnesa Mujib University
Jamalpur (Bangladesh)

Kamrul Hasan
Department of Mathematics and Statistics
Bangladesh University of Business and Technology (BUBT)
Dhaka (Bangladesh)

Abstract

The major goal of this paper is to demonstrate the following conclusion:

Allow U to be a non-zero square closed Lie ideal of a 2-torsion free prime ring R, and f to be a generalized, (U R) − derivation of R . If f acts as a homomorphism and as an anti-homomorphism on U, then either f = 0 or U ZR ⊂ ( ).

Keywords: NMDC (National Mineral Development Corporation).

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