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DERIVATIONS ON SUBRINGS OF MATRIX RINGS

  • Chun, Jang-Ho (Department of Mathematics, Yeungnam University) ;
  • Park, June-Won (Department of Mathematics, Kyungil University)
  • Published : 2006.08.01

Abstract

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.

Keywords

derivations;diagonal derivations;strongly nilpotent derivations;inner derivations

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  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
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