본문 바로가기
KERD
논문KCI 등재

Generalized Jordan triple higher derivations on semiprime rings

Feng Wei|Zhankui Xiao
대한수학회 (The Korean Mathematical Society)|2009.05|대한수학회보 (Bulletin of the KMS)|제46권 제3호|pp. 553-565

2

조회

0

다운로드

2

인용

0

참고문헌

키워드

generalized Jordan triple higher derivationsemi-prime ring
주제분류수학

초록

In this paper we prove that every generalized Jordan triple higher derivation on a 2-torsion free semiprime ring is a generalized higher derivation. This extend the main result of [9] to the case of a semiprime ring.

Abstract

In this paper we prove that every generalized Jordan triple higher derivation on a 2-torsion free semiprime ring is a generalized higher derivation. This extend the main result of [9] to the case of a semiprime ring.

참고문헌 (13)

  1. N. Argac, "On generalized (¾, ¿)-derivations, Sibirsk", Mat. Zh., 43(6), pp.977~984 (2002)
  2. M. Breˇsar, "Jordan derivations on semiprime rings", Proc. Amer. Math. Soc, 104(4), pp.1003~1006 (1988)
  3. M. Breˇsar, "Jordan mappings of semiprime rings", J. Algebra, 127(1), pp.218~228 (1989)
  4. J. M. Cusack, "Jordan derivations on rings", Proc. Amer. Math. Soc, 53(2), pp.321~324 (1975)
  5. M. Ferrero, "Higher derivations and a theorem by Herstein", Quaest. Math, 25(2), pp.249~257 (2002)
  6. I. N. Herstein, "Jordan derivations of prime rings", Proc. Amer. Math. Soc, 8, pp.1104~1110 (1957)
  7. B. Hvala, "Generalized derivations in rings", Comm. Algebra, 26(4), pp.1147~1166 (1998)
  8. W. Jing, "Generalized Jordan derivations on prime rings and standard operator algebras", Taiwanese J. Math, 7(4), pp.605~613 (2003)
  9. Y.-S. Jung, "Generalized Jordan triple higher derivations on prime rings", Indian J. Pure Appl. Math, 36(9), pp.513~524 (2005)
  10. 정용수, "On generalized $(\a, \b)$-derivations andcommutativity in prime rings", 대한수학회보, 43(1), pp.101~106 (2006), 대한수학회
  11. 정용수, "On prime and semiprime rings with permuting 3-derivations", 대한수학회보, 44(4), pp.789~794 (2007), 대한수학회
  12. F. Wei, "¤-generalized differential identities of semiprime rings with involution", Houston J. Math, 32(3), pp.665~681 (2006)
  13. F.Wei, "Generalized Jordan derivations and its pairs on semiprime rings", Demonstratio Math

관련 논문AI추천

On generalized Jordan left derivations in ringsMohammad Ashraf, Shakir Ali대한수학회 · 대한수학회보2008 · 제45권 제2호On Semiprime Rings with Generalized DerivationsMohammad Mueenul Hasnain, Mohd Rais Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호On Jordan ideals in prime rings with generalized derivationsAbdellah Mamouni, Brahim Fahid, Driss Bennis대한수학회 · 대한수학회논문집2017 · 제32권 제3호Jordan generalized derivations on trivial extension algebrasAzam Erfanian Attar, Barahim Fahid, Driss Bennis, Hamid Reza Ebrahimi Vishki, Mohammad Ali Bahmani대한수학회 · 대한수학회논문집2018 · 제33권 제3호A note on generalized derivations as a Jordan homomorphismsArusha Chandrasekhar, Shailesh Kumar Tiwari대한수학회 · 대한수학회보2020 · 제57권 제3호Generalized derivations on semiprime ringsVincenzo De Filippis대한수학회 · 대한수학회보2011 · 제48권 제6호

이 간행물의 다른 논문 (17건)

Certain curvature conditions on an LP-Sasakian manifold with a coefficient αUday Chand De, Kadri Arslanpp. 401-408The generalized Riemann problem for first order quasilinear hyperbolic systems of conservation laws IDecheng Huang, Shouxin Chen, Xiaosen Hanpp. 409-434Jordan θ-derivations on Lie triple systemsAbbas Najatipp. 435-437Univalence properties for a general integral operatorDaniel Breazpp. 439-446Commuting structure Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians정임순, 서영진, 양해영pp. 447-461
원문 보기