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Symmetric bi-$\left( \sigma ,\tau \right) $ derivations of prime and semi prime gamma rings

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Abstract

The purpose of this paper is to define the symmetric bi-left(sigma ,tau right) derivations on prime and semi prime Gammarings and to prove some results concerning symmetric bi-left(sigma ,tau right) derivations on prime and semi prime Gammarings.

참고문헌 (13)

  1. W. E. Barnes, "On the Gamma-rings of Nobusawa", 18(3), pp.411~422 (1966)
  2. E. Bell, "Centralizing mappings of semiprime rings", 30(1), pp.92~ (1987)
  3. Bresar, "On some additive mapping inrings with involution", 38(2-3), pp.178~ (1989)
  4. On left derivations, "Proc Amer. Math. Soc. 110(1990", no. 1
  5. c{S}. Ceran, "On alpha-derivation of prime rings", 41(1), pp.15~20 (1996), Studia Univ. Babec
  6. N. Hernstein, "Topics in ring theory" (1969), The University ofChicago Press
  7. J. Jing, "On derivations of Gamma-rings", 13(4), pp.159~ (1987)
  8. Kyuno, "On prime gamma rings", 75(1), pp.185~ (1978)
  9. Glas. Mat. Ser. III 15, "A remark on symmetric biadditive functionshaving nonnegative diagonalization", pp.279~ (1980)
  10. On the trace of symmmetricbi-derivations, "C. R. Math. Rep. Acad. Sci. Canada 9(1987", no. 6
  11. "The commutativity in prime gamma ringswith derivation", pp.149~ (1994)
  12. "Symmetric bi-derivations on prime and semi-primerings", 38(2-3), pp.245~ (1989)
  13. "Symmetric bi-derivations on prime and semi-primerings", 38(2-3), pp.245~ (1989)

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