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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 4

A note on generalized left ($theta,phi$)-derivations in prime rings

Xiao Wei XU
Hong Ying ZHANG
Sayfa
523–529
Yayın Tarihi
2022-10-18
DOI
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In this paper we describe generalized left ($theta, phi$)derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.

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Amaç & Hipotez:In this paper we describe generalized left ($theta, phi$)derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.
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Temel Bulgular & Veri:In this paper we describe generalized left ($theta, phi$)derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.
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Sonuç & Katkı:In this paper we describe generalized left ($theta, phi$)derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper we describe generalized left ($theta, phi$)derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.

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Bu Makaleye Atıf Yap

XU, X. W., ZHANG, H. Y. (2022). A note on generalized left ($theta,phi$)-derivations in prime rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 4, 523–529. https://ajindex.com/articles/530606

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Kaynakça (12)

  1. Ali, A. and Kumar, D. Generalized derivations as homomorphisms or as anti-homo-morphisms in a prime ring, Hacet. J. Math. Stat. 38(1), 17-20, 2009
  2. Ashraf, M. On left ($theta, phi$ derivations of prime rings, Arch. Math. (Brno) 41, 157-166, 2005
  3. Ashraf, M., Ali, A. and Ali, S. On Lie ideals and generalized ($theta, phi$derivations in prime rings, Comm. Algebra 32, 2977-2985, 2004
  4. Ashraf, M. and Ali, S. On generalized Jordan left derivations in rings, Bull. Korean Math. Soc. 45, 253-261, 2008
  5. Bell, H. E. and Kappe, L. C. Rings in which derivations satisfy certain algebraic conditions, Acta Math. Hungar. 53, 339-346, 1989
  6. Bresar, M. On the distance of the composition of two derivations to the generalized derivations, Glasgow Math. 33, 89-93, 1991
  7. Bresar, M. and Vukman, J. On left derivations and related mappings, Proc. Amer. Math. Soc. 110, 7-16, 1990
  8. Chang, J.C. and Lin, J.S. (a, B )-derivation with nilpotent values, Chin. J. Math. 22, 349-355, 1994
  9. Cheng, H.W. and Wei, F. Generalized skew derivations of rings, Adv. Math. (China) 35, 237-243, 2006
  10. Hvala, B. Generalized derivations in rings, Comm. Algebra 26, 1147-1166, 1998
  11. Lee, T.K. Generalized derivations of left faithful rings, Comm. Algebra 27, 4057-4073, 1999
  12. Zaidi, S. M. A., Ashraf, M. and Ali, S. On Jordan ideals and left (0,6)-derivations in prime rings, Int. J. Math. & Math. Sci. 37, 1957-1964, 2004.