ArticleOriginal scientific text
Title
Lie ideals in prime Γ-rings with derivations
Authors 1, 2
Affiliations
- Salahaddin University, Department of Mathematics, Erbil, Iraq
- Baghdad University, Department of Mathematics, Baghdad, Iraq
Abstract
Let M be a 2 and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following (i) d(U)⊂ Z, (ii) d(U)⊂ U and d²(U)=0, (iii) d(U)⊂ U, d²(U)⊂ Z.
Keywords
prime Γ-rings, Lie ideals, derivations
Bibliography
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- M. Soyturk, The Commutativity in Prime Gamma Rings with Derivation, Tr. J. Math. 18 (1994) 149-155.
Pages:
49-56
Main language of publication
English
Received
2012-10-24
Accepted
2013-01-03
Published
2013
DOI: 10.7151/dmgaa.1199
Exact and natural sciences