Semiprime Lie Rings of (Anti-)Symmetric Derivations of Commutative Rings

Cheng Kai Liu, Pao Kuei Liau

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let R be a 2-torsion free commutative ring with involution, and δ a nonzero derivation of R. Let S be the set of symmetric elements in R, and let K be the set of anti-symmetric elements in R. In this article, we investigate the semiprimeness of the Lie rings Sδ when δ is symmetric and Kδ when δ is anti-symmetric.

Original languageEnglish
Pages (from-to)1747-1756
Number of pages10
JournalCommunications in Algebra
Volume42
Issue number4
DOIs
Publication statusPublished - 2014 Jan 1

Fingerprint

Lie Ring
Semiprime Ring
Antisymmetric
Commutative Ring
Torsion-free
Involution

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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Semiprime Lie Rings of (Anti-)Symmetric Derivations of Commutative Rings. / Liu, Cheng Kai; Liau, Pao Kuei.

In: Communications in Algebra, Vol. 42, No. 4, 01.01.2014, p. 1747-1756.

Research output: Contribution to journalArticle

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