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Automorphisms with Lie İdeals and (η,ξ)-derivations

Year 2023, Volume: 12 Issue: 1, 93 - 96, 22.03.2023
https://doi.org/10.17798/bitlisfen.1192052

Abstract

Let S be a prime ring with charS≠2 and η, ξ, κ, ε, λ and μ will be automorphisms of S. The purpose of our paper is 6 to study (η,ξ)-derivations and automorphisms satisfying certain identities on Lie ideals of prime rings.

References

  • [1] E. Güven, K. Kaya and M. Soytürk, "Some Results on (σ,τ)-Lie Ideals", Math. J. Okayama Univ., 49, 2007, pp. 59-64.
  • [2] E. Güven, "Lie Ideals in Prime Rings with (σ,τ)−Derivation", Int.journal of Algebra, 2009, pp. 857-862.
  • [3] N. Aydın and K. Kaya, "Some Generalization in Prime Rings with (σ, τ )−Derivations", Doğa-Tr.J.of Mathematics, 16 , 1992, pp. 169-176.
  • [4] H. Kandamar and K. Kaya, "Lie Ideals and (σ,τ)−Derivation in Prime Rings", Hacettepe Bull.Nat. Sci. Eng,.Vol. 21, 1992, pp. 29-33.
  • [5] Herstein, I. N.,“On the Lie Structure of an Assosiative Rings”, Journal of Algebra, 14, 1970, pp. 561-571
  • [6] Bergen, J., Herstein, I. N. and Kerr, J. W., “Lie Ideals and Derivation of Prime Rings”, Journal of Algebra, Vol. 71, 1981, pp. 259-267
Year 2023, Volume: 12 Issue: 1, 93 - 96, 22.03.2023
https://doi.org/10.17798/bitlisfen.1192052

Abstract

References

  • [1] E. Güven, K. Kaya and M. Soytürk, "Some Results on (σ,τ)-Lie Ideals", Math. J. Okayama Univ., 49, 2007, pp. 59-64.
  • [2] E. Güven, "Lie Ideals in Prime Rings with (σ,τ)−Derivation", Int.journal of Algebra, 2009, pp. 857-862.
  • [3] N. Aydın and K. Kaya, "Some Generalization in Prime Rings with (σ, τ )−Derivations", Doğa-Tr.J.of Mathematics, 16 , 1992, pp. 169-176.
  • [4] H. Kandamar and K. Kaya, "Lie Ideals and (σ,τ)−Derivation in Prime Rings", Hacettepe Bull.Nat. Sci. Eng,.Vol. 21, 1992, pp. 29-33.
  • [5] Herstein, I. N.,“On the Lie Structure of an Assosiative Rings”, Journal of Algebra, 14, 1970, pp. 561-571
  • [6] Bergen, J., Herstein, I. N. and Kerr, J. W., “Lie Ideals and Derivation of Prime Rings”, Journal of Algebra, Vol. 71, 1981, pp. 259-267
There are 6 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Araştırma Makalesi
Authors

Evrim Güven 0000-0001-5256-4447

Early Pub Date March 23, 2023
Publication Date March 22, 2023
Submission Date October 21, 2022
Acceptance Date February 27, 2023
Published in Issue Year 2023 Volume: 12 Issue: 1

Cite

IEEE E. Güven, “Automorphisms with Lie İdeals and (η,ξ)-derivations”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 12, no. 1, pp. 93–96, 2023, doi: 10.17798/bitlisfen.1192052.

Bitlis Eren University
Journal of Science Editor
Bitlis Eren University Graduate Institute
Bes Minare Mah. Ahmet Eren Bulvari, Merkez Kampus, 13000 BITLIS