On the ideals of a lie ring of derivations

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Let R be a commutative ring, and D a Lie subring and an R-submodule of Der(R) such that R is D-semiprime (or D-prime). We investigate the structure of the ideals of D as Lie rings. As a consequence, we give a necessary and sufficient condition for the ideals of D to be semiprime (or prime, respectively) Lie rings.

Original languageEnglish
Pages (from-to)2396-2404
Number of pages9
JournalCommunications in Algebra
Volume37
Issue number7
DOIs
Publication statusPublished - 2009 Jul 1

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Lie Ring
Prime Ring
Subring
Commutative Ring
Necessary Conditions
Sufficient Conditions

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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On the ideals of a lie ring of derivations. / Liu, Cheng Kai.

In: Communications in Algebra, Vol. 37, No. 7, 01.07.2009, p. 2396-2404.

Research output: Contribution to journalArticle

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