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Derivations on subrings of matrix rings

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Abstract

For a lower niltriangular matrix ring A = NTn (K )(n 3), we show that every derivation of A is a sum of certaindiagonal, trivial extension and strongly nilpotent derivation. More-over, a strongly nilpotent derivation is a sum of an inner derivationand an uaz -derivation.

참고문헌 (7)

  1. "Extension of derivations to central simple algebras", 10(8), pp.797~803 (1982)
  2. J. H. Chun, "Prime ideals of subrings of matrix rings", 19(2), pp.211~217 (2004)
  3. "The Mathematical Association of America" (1968)
  4. "The automorphism group of certain radical", 243(2), pp.473~485 (2001)
  5. "Automorphisms of certain nilpotent matrix groups and rings" (1975)
  6. "Connections between the unitriangular group and certain rings" (1983)
  7. "Derivations of specialsubrings of matrix rings and regular graph", pp.281~ (1983)

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