논문KCI 등재
On prime and semiprime rings with permuting 3-derivations
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Abstract
Let R be a 3-torsion free semiprime ring and let I be anonzero two-sided ideal of R. Suppose that there exists a permuting3-derivation :R R R ! R such that the trace is centralizing on I .Then the trace of is commuting on I . In particular, ifR is a 3!-torsionfree prime ring and is nonzero under the same condition, then R iscommutative.
참고문헌 (5)
- "Commuting maps: a survey", 8(3), pp.361~397 (2004)
- "Centralizing mappings of prime rings" (1984)
- "Derivations in prime rings" (1957)
- "Symmetric bi-derivations on prime and semi-prime rings", pp.2~3 (1989)
- "Two results concerning symmetric bi-derivations on prime rings", pp.2~3 (1990)
관련 논문AI추천
On 4-permuting 4-derivations in Prime and Semiprime Rings박규홍한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제4호Derivations on prime and semi-prime rings이은휘, 장익순, 정용수대한수학회 · 대한수학회보2002 · 제39권 제3호Permuting Tri-Derivations in Prime and Semi-Prime Gamma RingsDuran zden, Mehmet Ali ztrk, Young Bae Jun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호On generalized $(\a, \b)$-derivations andcommutativity in prime rings박규홍, 정용수대한수학회 · 대한수학회보2006 · 제43권 제1호On (σ, τ)-Derivations of Prime RingsE. Guven, K. Kaya, M. Soyturk한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제3호On Semiprime Rings with Generalized DerivationsMohammad Mueenul Hasnain, Mohd Rais Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호
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