본문 바로가기
KERD
논문KCI 등재

On generalized $(\a, \b)$-derivations andcommutativity in prime rings

박규홍|정용수
대한수학회 (The Korean Mathematical Society)|2006.02|대한수학회보 (Bulletin of the KMS)|제43권 제1호|pp. 101-106

2

조회

0

다운로드

2

인용

0

참고문헌

주제분류수학

초록

Abstract

Let $R$ be a prime ring and $I$ a nonzero ideal of $R$. Let $\a,\, \n,\, \t: R \to R$ be the endomorphisms and $\b,\, \m: R \to R$ the automorphisms. If $R$ admits a generalized $(\a, \b)$-derivation $g$ associated with a nonzero $(\a, \b)$-derivation $\d$ such that $g([\m(x), y])=[\nu(x), y]_{\a, \t}$ for all $x, y \in I$, then $R$ is commutative.

참고문헌 (7)

  1. "newblock On derivations and commutativity in prime rings", 66(4), pp.337~343 (1995)
  2. "newblock On the distance of the compositions of two derivationsto the generalized derivations", 33(1), pp.89~ (1991)
  3. "newblock Remarks on derivations on semiprime rings", 15(1), pp.205~ (1992)
  4. "newblock Generalized derivations in rings", 26(4), pp.1147~1166 (1998)
  5. "newblock Generalized derivations of left faithful rings", 27(8), pp.4057~4073 (1999)
  6. "newblock Centralizing mappings of prime rings", 27(1), pp.122~ (1984)
  7. "Generalized derivations and commutativity of prime rings", 34(9), pp.1393~1396 (2003)

관련 논문AI추천

Some commutativity theorems of prime rings with generalized (σ, τ)-derivationEmine Koc, Oznur Golbasi대한수학회 · 대한수학회논문집2011 · 제26권 제3호On (σ, τ)-Derivations of Prime RingsE. Guven, K. Kaya, M. Soyturk한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제3호On prime and semiprime rings with permuting 3-derivations박규홍, 정용수대한수학회 · 대한수학회보2007 · 제44권 제4호On Semiprime Rings with Generalized DerivationsMohammad Mueenul Hasnain, Mohd Rais Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호On generalized Jordan left derivations in ringsMohammad Ashraf, Shakir Ali대한수학회 · 대한수학회보2008 · 제45권 제2호On Prime Near-rings with Generalized -derivationsOznur Goelbasi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호

이 간행물의 다른 논문 (20건)

Bounded matrices over regular ringsShuqin Wang, Huanyin Chenpp. 1-7Symmetric bi-$\left( \sigma ,\tau \right) $ derivations of prime and semi prime gamma ringsMustafa A, Sahin Ceranpp. 9-16Eigenvalues of a random walk on oriented matroids안승호, 방신옥pp. 17-25A counterpart of Bessel’s inequality in inner product spaces and some gr\＂uss type related resultsSever S. Dragomirpp. 27-41Weak inverse shadowing and genericity최태영, 이건희, 김성식pp. 43-52
원문 보기