Derivations on subrings of matrix rings

Jang-Ho Chun; June-Won Park

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Bull. Korean Math. Soc. 2006; 43(3): 635-644

Printed September 1, 2006

Derivations on subrings of matrix rings

Jang-Ho Chun and June-Won Park

Yeungnam University, Kyungil University

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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 deri-vations, inner derivations

Bulletin of the
Korean Mathematical Society BKMS

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Derivations on subrings of matrix rings

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Article

Derivations on subrings of matrix rings

Abstract

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS

Relationship between the structure of a factor ring $R/P$ and derivations of $R$

A one-sided version of Posner's second theorem on multilinear polynomials

Generalized derivations in prime rings and noncommutative Banach algebras

Decomposition of Dirichlet forms associated to unbounded Dirichlet operators

Bulletin of the
Korean Mathematical Society BKMS