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Annihilating Conditions of Generalized Skew Derivations on Lie Ideals

Nadeem Ur Rehman|Junaid Nisar|Sajad Ahmad Pary
경북대학교 자연과학대학 수학과|2023.09|Kyungpook Mathematical Journal|제63권 제3호|pp. 325-331|DOI 10.5666/KMJ.2023.63.3.325

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참고문헌

키워드

Prime ringGeneralized skew derivation
주제분류수학

초록

Let A be a prime ring of char(A)̸= 2, L a non-central Lie ideal of A, F a generalized skew derivation of A and p ∈ A, a nonzero fixed element. If pF(η)η ∈ C for any η ∈ L , then A satisfies S4.

Abstract

Let A be a prime ring of char(A)̸= 2, L a non-central Lie ideal of A, F a generalized skew derivation of A and p ∈ A, a nonzero fixed element. If pF(η)η ∈ C for any η ∈ L , then A satisfies S4.

참고문헌 (14)

  1. C. Abdioglu, "A basic functional identity with application to jordan σ-biderivations, comm", Algebra, 45(4), pp.1741~1756 (2017)
  2. K. I. Beidar, "Extended Jacobson density theorem for rings with automorphisms and derivations", Israel J. Math, 122, pp.317~346 (2001)
  3. J. Bergen, "Lie ideals and derivations of prime rings", J. Algebra, 71, pp.259~267 (1981)
  4. C. M. Chang, "Annihilators of power values of derivations in prime rings", Comm. Algebra, 26(7), pp.2091~2113 (1998)
  5. C. L. Chuang, "GPIs having coefficients in Utumi quotient rings", Proc. Amer. Math. Soc, 103(3), pp.723~728 (1988)
  6. C. L. Chuang, "Differential identities with automorphism and anti-automorphisms II", J. Algebra, 160, pp.292~335 (1993)
  7. C. L. Chuang, "Identities with a single skew derivation", J. Algebra, 288(1), pp.59~77 (2005)
  8. Basudeb Dhara, "Notes on generalized derivations on Lie ideals in prime rings", 대한수학회보, 46(3), pp.599~605 (2009), 대한수학회
  9. Y. Du, "A result on generalized derivations in prime rings", Hacet. J. Math. Stat, 42(1), pp.81~85 (2013)
  10. N. Jacobson, "Structure of rings", Amer. Math. Soc. Colloquium Publications, 37 (1964)
  11. C. Lanski, "Lie structure of prime ring of characteristic 2", Pacific J. Math, 42(1), pp.117~136 (1972)
  12. W. S. Martindale, "Prime rings satisfying a generalized polynomial identity", J. Algebra, 12, pp.576~584 (1969)
  13. R. K. Sharma, "An annihilator condition on prime rings with derivations", Tamsui Oxf. J. Math. Sci, 21(1), pp.71~80 (2005)
  14. Y. Wang, "Power-centralizing automorphisms of Lie ideals in prime rings", Comm. Algebra, 34(2), pp.609~615 (2006)

관련 논문AI추천

Notes on generalized derivations on Lie ideals in prime ringsBasudeb Dhara, Vincenzo De Filippis대한수학회 · 대한수학회보2009 · 제46권 제3호Generalized derivations with annihilator conditions in prime ringsYu Wang대한수학회 · 대한수학회보2011 · 제48권 제5호Derivations with annihilator conditions in prime ringsBasudeb Dhara, Sachhidananda Mondal, Sukhendu Kar대한수학회 · 대한수학회보2013 · 제50권 제5호A NOTE ON SKEW DERIVATIONS IN PRIME RINGSAjda Fonsner, Vincenzo De Filippis대한수학회 · 대한수학회보2012 · 제49권 제4호Generalized derivations on semiprime ringsVincenzo De Filippis대한수학회 · 대한수학회보2011 · 제48권 제6호Lie Ideals and Commutativity of Semiprime Rings with Generalized DerivationEmine Koc Sogutcu, O ̈znur Go ̈lba ̧sı영남수학회 · East Asian Mathematical Journal2020 · 제36권 제1호

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