Prime Lie rings of derivations of commutative rings II

Pjek Hwee Lee; Cheng-Kai Liu

doi:10.1080/00927870601142108

Prime Lie rings of derivations of commutative rings II

Pjek Hwee Lee, Cheng-Kai Liu

Department of Mathematics

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

Let R be a 2-torsionfree commutative ring, and D a Lie subring and an R-submodule of Der(R) such that R is D-prime. Then any ideal of the Lie ring D is itself a prime Lie ring.

Original language	English
Pages (from-to)	1205-1213
Number of pages	9
Journal	Communications in Algebra
Volume	35
Issue number	4
DOIs	https://doi.org/10.1080/00927870601142108
Publication status	Published - 2007 Apr 1

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/00927870601142108

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title = "Prime Lie rings of derivations of commutative rings II",

abstract = "Let R be a 2-torsionfree commutative ring, and D a Lie subring and an R-submodule of Der(R) such that R is D-prime. Then any ideal of the Lie ring D is itself a prime Lie ring.",

author = "Lee, {Pjek Hwee} and Cheng-Kai Liu",

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AU - Liu, Cheng-Kai

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AB - Let R be a 2-torsionfree commutative ring, and D a Lie subring and an R-submodule of Der(R) such that R is D-prime. Then any ideal of the Lie ring D is itself a prime Lie ring.

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