Prime Lie rings of derivations of commutative rings in characteristic 2

Chia Hsin Liu, Donald S. Passman

研究成果: 雜誌貢獻期刊論文同行評審

6 引文 斯高帕斯(Scopus)

摘要

Let R be a commutative associative ring with 1 and let Der (R) be the Lie ring of all derivations of R. Suppose that D is a Lie subring and an R-submodule of Der (R). When R is D-prime, we give necessary and sufficient conditions for D to be Lie prime. Since results of this nature are already known for rings R of characteristic different from 2, what is really new here is the characteristic 2 case.

原文英語
頁(從 - 到)352-364
頁數13
期刊Journal of Algebra
311
發行號1
DOIs
出版狀態已發佈 - 2007 五月 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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