대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제43권3호
  • /
  • Pages.635-644
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  • 2006
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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DERIVATIONS ON SUBRINGS OF MATRIX RINGS

  • 발행 : 2006.08.01
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초록

For a lower niltriangular matrix ring $A=NT_n(K)(n{\geq}3)$, we show that every derivation of A is a sum of certain diagonal, trivial extension and strongly nilpotent derivation. Moreover, a strongly nilpotent derivation is a sum of an inner derivation and an uaz-derivation.

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참고문헌

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피인용 문헌

  1. DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS vol.09, pp.05, 2010, https://doi.org/10.1142/S0219498810004154
  2. Derivations of a matrix ring containing a subring of triangular matrices vol.55, pp.11, 2011, https://doi.org/10.3103/S1066369X1111003X
  3. Derivations of some classes of matrix rings vol.16, pp.02, 2017, https://doi.org/10.1142/S021949881750027X
  4. Elementary equivalence and isomorphisms of locally nilpotent matrix groups and rings vol.79, pp.2, 2009, https://doi.org/10.1134/S1064562409020100
  5. JORDAN ISOMORPHISMS OF RADICAL FINITARY MATRIX RINGS vol.09, pp.04, 2010, https://doi.org/10.1142/S0219498810004282
  6. Jordan Derivations on Strictly Triangular Matrix Rings vol.18, pp.03, 2011, https://doi.org/10.1142/S1005386711000393