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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 397 - 408 (12page)
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Let $R$ be a $2$-torsion free prime ring with center $Z$, $U$ be the Utumi quotient ring, $Q$ be the Martindale quotient ring of $R$, $d$ be a derivation of $R$ and $L$ be a Lie ideal of $R$. If $d(uv)^n=d(u)^md(v)^l$ or $d(uv)^n=d(v)^ld(u)^m$ for all $u,v\in L$, where $m,n,l$ are fixed positive integers, then $L \subseteq Z$. We also examine the case when $R$ is a semiprime ring. Finally, as an application we apply our result to the continuous derivations on non-commutative Banach algebras. This result simultaneously generalizes a number of results in the literature.
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참고문헌 (25)
참고문헌 신청
A. Ali / 2003 / On Lie ideals with derivations as homomorphisms and anti-homomorphisms / Acta Math. Hungar. 101(1-2):79~82
K. I. Beidar / 1996 / Rings with Generalized Identities , Pure and Applied Mathematics / Marcel Dekker
H. E. Bell / 1989 / Rings in which derivations satisfy certain algebraic conditions / Acta Math. Hungar 53:339~346
J. Bergen / 1988 / A note on derivations with power central values on a Lie ideal / Pacific J. Math. 132(2):209~213
C. L. Chuang / 1988 / GPIs having coefficients in Utumi quotient rings / Proc. Amer. Math. Soc. 103:723~728
K. I. Beidar / 1996 / Rings with Generalized Identities , Pure and Applied Mathematics / Marcel Dekker
H. E. Bell / 1989 / Rings in which derivations satisfy certain algebraic conditions / Acta Math. Hungar 53:339~346
J. Bergen / 1988 / A note on derivations with power central values on a Lie ideal / Pacific J. Math. 132(2):209~213
C. L. Chuang / 1988 / GPIs having coefficients in Utumi quotient rings / Proc. Amer. Math. Soc. 103:723~728
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