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Communications in Algebra Volume 47, 2019 - Issue 1
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Original Articles

Some commutativity criteria for prime rings with differential identities on Jordan ideals

A. MamouniDepartment of Mathematics, Faculty of Science and Technology, University Moulay Ismaïl, Errachidia, Morocco;
,
L. OukhtiteDepartment of Mathematics, Faculty of Science and Technology of Fez, University S. M. Ben Abdellah Fez, Fes, Morocco; Correspondence[email protected]
,
B. NejjarDepartment of Mathematics, Faculty of Science, University Ibn Tofail, Kenitra, Morocco;
&
J. J. Al JaradenDepartment of Mathematics, Al Hussein Bin Talal University, Ma'an, Jordan
Pages 355-361 | Received 06 Feb 2016, Accepted 06 May 2018, Published online: 25 Oct 2018

References

  • Awtar, R. (1973). Lie and Jordan structure in prime rings with derivations. Proc. Am. Math. Soc. 41:67–74.
  • Ashraf, M., Ali, A., Ali, S. (2007). Some commutativity theorems for rings with generalized derivations. Southeast Asian Bull. Math. 31:415–421.
  • Ashraf, M., Asma, A., Shakir, A. (2004). On Lie ideals and generalized (θ,ϕ)-derivations in prime rings. Commun. Algebra 32(8):2977–2985.
  • Ashraf, M., Rehman, N. (2002). On commutativity of rings with derivation. Results Math. 42:3–8.
  • Nejjar, B., Kacha, A., Mamouni, A., Oukhtite, L. (2017). Commutativity theorems in rings with involution. Commun. Algebra 45(2):698–708.
  • Oukhtite, L., Mamouni, A., Ashraf, M. (2013). Commutativity theorems for rings with differential identities on Jordan ideals. Comment. Math. Univ. Carol. 54(4):447–457.
  • Oukhtite, L., Mamouni, A. (2014). Generalized derivations centralizing on Jordan ideals of rings with involution. Turk. J. Math. 38(2):225–232.
  • Oukhtite, L., Mamouni, A. (2016). Differential identities on Jordan ideals of rings with involution. Hacet. J. Math. Stat. 45(1):49–55.
  • Oukhtite, L. (2011). Posner’s Second Theorem for Jordan ideals in rings with involution. Expo. Math. 29(4):415–419.
  • Oukhtite, L. (2010). On Jordan ideals and derivations in rings with involution. Comment. Math. Univ. Carolin. 51(3):389–395.
  • Zaidi, S. M. A., Ashraf, M., Ali, S. (2004). On Jordan ideals and left (θ,θ)-derivations in prime rings. Int. J. Math. Math. Sci. 2004(37–40):1957–1964.

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