TEST RANK OF THE LIE ALGEBRA F/[R ', F]

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Oguslu N. Ş.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.13, no.4, 2014 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 13 Issue: 4
• Publication Date: 2014
• Doi Number: 10.1142/s0219498813501223
• Journal Name: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Çukurova University Affiliated: Yes

Abstract

Let F be a free Lie algebra of rank n >= 2 and R be a fully invariant ideal of F. We show that the test rank of the Lie algebra F/[R ', F] is equal to 1 when n is even and less than or equal to 2 when n is odd.