(U, M) -derivations in prime ?-rings
| Autor: | MM Rahman, AC Paul |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Bangladesh Journal of Scientific Research. 27:143-153 |
| ISSN: | 2408-8447 0253-5432 |
| DOI: | 10.3329/bjsr.v27i2.26232 |
| Popis: | In this article, we define ( U,M )-derivation d of a Γ -ring M . For a Lie ideal U of a 2 - torsion free prime Γ -ring M satisfying the condition a α b β c = a β b α c for all a , b , c ∈ M and α ,β ∈Γ , we prove the following results: (i) if U is an admissible Lie ideal of M , then d ( u α v ) = d ( u )α v + u α d ( v ) for all u , v ∈ U ,α ∈Γ (ii) if u α u ∈ U for all u ∈ U ,α ∈Γ , then d ( u α m ) = d ( u )α m + u α d ( m ) for all m ∈ M Bangladesh J. Sci. Res. 27(2): 143-153, December-2014 |
| Databáze: | OpenAIRE |
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