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

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Atıf İçin Kopyala

Oguslu N. Ş.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.13, sa.4, 2014 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 13 Sayı: 4
• Basım Tarihi: 2014
• Doi Numarası: 10.1142/s0219498813501223
• Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Çukurova Üniversitesi Adresli: Evet

Özet

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.