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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 827 - 835 (9page)
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Let U be a σ-square closed Lie ideal of a 2-torsion free σ-prime Γ-ring M. Let d≠1 be an automorphism of M such that [u, d(u)]α ∈ Z(M) on U, dσ=σd on U, and there exists u0 in Saσ(M) with MΓu0 ⊆ U. Then, U ⊆ Z(M). By applying this result, we generalize the results of Oukhtite and Salhi respect to Γ-rings. Finally, for a non-zero derivation of a 2-torsion free σ-prime Γ-ring, we obtain suitable conditions under which the Γ-ring must be commutative.
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참고문헌 (16)
참고문헌 신청
A. C. Paul. / 2010 / Lie and Jordan structure in simple ¡-rings / Journal of Physical Sciences 11 : 77 ~ 86
A. C. Paul. / 2010 / Lie structure in simple gamma rings / International Journal of Pure and Applied Sciences and Technology 4 (2) : 63 ~ 70
A. C. Paul. / 2012 / Simple gamma rings with involutions / IOSR Journal of Mathematics 4 (3) : 40 ~ 48
A. K. Halder. / 2011 / "Commutativity of two torsion free ¾-prime with non-z-3ero derivations / Journal of Physical Sciences 15 : 272 ~
A. K. Halder. / 2012 / Jordan left derivations on Lie ideals of prime ¡-rings / Panjab Univ. Journal of Math 44 : 23 ~ 29
A. C. Paul. / 2010 / Lie structure in simple gamma rings / International Journal of Pure and Applied Sciences and Technology 4 (2) : 63 ~ 70
A. C. Paul. / 2012 / Simple gamma rings with involutions / IOSR Journal of Mathematics 4 (3) : 40 ~ 48
A. K. Halder. / 2011 / "Commutativity of two torsion free ¾-prime with non-z-3ero derivations / Journal of Physical Sciences 15 : 272 ~
A. K. Halder. / 2012 / Jordan left derivations on Lie ideals of prime ¡-rings / Panjab Univ. Journal of Math 44 : 23 ~ 29
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