논문KCI 등재
Derivations on prime and semi-prime rings
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Abstract
In this paper we will show that if there exist derivations D,G on a n!-torsion free semi-prime ring R such that themapping D^{2}+G is n-commuting on R, then D andG are both commuting on R. And we shall give the algebraicconditions on a ring that a Jordan derivation is zero.
관련 논문AI추천
On prime and semiprime rings with permuting 3-derivations박규홍, 정용수대한수학회 · 대한수학회보2007 · 제44권 제4호On 4-permuting 4-derivations in Prime and Semiprime Rings박규홍한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제4호Derivations of semiprime rings and noncommutativeBanach algebrasByung-Do Kim대한수학회 · 대한수학회논문집2002 · 제17권 제4호Composition of Derivations on (semi) Prime I-ringsH. Pajoohesh, M. Mehdi Ebrahimi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 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 제3호
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