Prime Lie rings of derivations of commutative rings in characteristic 2

Chia Hsin Liu; Donald S. Passman

doi:10.1016/j.jalgebra.2006.08.035

Prime Lie rings of derivations of commutative rings in characteristic 2

Chia Hsin Liu^*, Donald S. Passman

^*此作品的通信作者

數學系

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
卷	311
發行號	1
DOIs	https://doi.org/10.1016/j.jalgebra.2006.08.035
出版狀態	已發佈 - 2007 5月 1

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代數與數理論

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10.1016/j.jalgebra.2006.08.035

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AU - Passman, Donald S.

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AB - 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.

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KW - Lie rings

KW - Prime Lie rings

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Prime Lie rings of derivations of commutative rings in characteristic 2

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