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Some commutativity theorems of prime rings with generalized (σ, τ)-derivation

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In this paper, we extend some well known results concerning generalized derivations of prime rings to a generalized (σ, τ)-derivation.

Abstract

In this paper, we extend some well known results concerning generalized derivations of prime rings to a generalized (σ, τ)-derivation.

참고문헌 (11)

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  3. M. Ashraf, "Some commutativity theorems for rings with gen- eralized derivations", Southeast Asian Bull. Math, 31(3), pp.415~421 (2007)
  4. N. Aydn, "Some generalizations in prime rings with (; )-derivation", Doga Mat, 16(3), pp.169~176 (1992)
  5. H. E. Bell, "On commutativity and strong commutativity-preserving maps", Canad. Math. Bull, 37(4), pp.443~447 (1994)
  6. H. E. Bell, "Centralizing mappings of semiprime rings", Canad. Math. Bull, 30(1), pp.92~101 (1987)
  7. M. Bresar, "On the distance of the composition of two derivations to the generalized derivations", Glasgow Math. J, 33(1), pp.89~93 (1991)
  8. M. Bresar, "Commuting traces of biadditive mappings, commutativity-preserving mappings and Lie mappings", Trans. Amer. Math. Soc, 335(2), pp.525~546 (1993)
  9. J. C. Chang, "On (; )-derivations of prime rings", Chinese Journal Math, 22(1), pp.21~30 (1991)
  10. M. N. Daif, "Remarks on derivations on semiprime rings", Internat. J. Math. Math. Sci, 15(1), pp.205~206 (1992)
  11. Q. Deng, "On strong commutativity preserving mappings", Results Math, 30(3), pp.259~263 (1996)

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