논문KCI 등재
On 4-permuting 4-derivations in Prime and Semiprime Rings
한국수학교육학회|2007.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제4호|pp. 271-278
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Abstract
LetR be a 2-torsion fre semiprime ring. Supose that here xist s a4-permuting 4-derivation :R × R × R × R → R such that he trace is centralizingon R. Then the trace of is comuting on R. In particular, ifR is a 3!-torsionfre prime ring and is nonzero under the same condition, then R is comutative.
참고문헌 (5)
- "On prime and semiprime rings with permuting 3-derivations"
- "Centralizing mapings of prime rings", pp.12~126 (1984)
- "Derivations in prime rings", pp.1093~1100 (1957)
- "Symmetric bi-derivations on prime and semi-prime rings", pp.245~254 (1989)
- "Two results concerning symmetric bi-derivations on prime rings"
관련 논문AI추천
On prime and semiprime rings with permuting 3-derivations박규홍, 정용수대한수학회 · 대한수학회보2007 · 제44권 제4호Permuting Tri-Derivations in Prime and Semi-Prime Gamma RingsDuran zden, Mehmet Ali ztrk, Young Bae Jun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호Derivations on prime and semi-prime rings이은휘, 장익순, 정용수대한수학회 · 대한수학회보2002 · 제39권 제3호On (σ, τ)-Derivations of Prime RingsE. Guven, K. Kaya, M. Soyturk한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제3호On generalized $(\a, \b)$-derivations andcommutativity in prime rings박규홍, 정용수대한수학회 · 대한수학회보2006 · 제43권 제1호On Prime Near-rings with Generalized -derivationsOznur Goelbasi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호
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