### 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 |
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Pages (from-to) | 1205-1213 |

Number of pages | 9 |

Journal | Communications in Algebra |

Volume | 35 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2007 Apr 1 |

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### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

### Cite this

*Communications in Algebra*,

*35*(4), 1205-1213. https://doi.org/10.1080/00927870601142108

}

*Communications in Algebra*, vol. 35, no. 4, pp. 1205-1213. https://doi.org/10.1080/00927870601142108

**Prime Lie rings of derivations of commutative rings II.** / Lee, Pjek Hwee; Liu, Cheng-Kai.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Prime Lie rings of derivations of commutative rings II

AU - Lee, Pjek Hwee

AU - Liu, Cheng-Kai

PY - 2007/4/1

Y1 - 2007/4/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=34247398317&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34247398317&partnerID=8YFLogxK

U2 - 10.1080/00927870601142108

DO - 10.1080/00927870601142108

M3 - Article

AN - SCOPUS:34247398317

VL - 35

SP - 1205

EP - 1213

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 4

ER -