On the dimension of the product [L2,L2,L1] in free Lie algebras
Yazarlar (1)
Doç. Dr. Nil MANSUROĞLU Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | International Journal of Group Theory | ||
| Dergi ISSN | 2251-7650 Dergi Bilgileri (2018) | ||
| Dergi Tarandığı Indeksler | E-SCİ | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2018 |
| Cilt / Sayı / Sayfa | 7 / 2 / 45–50 | DOI | 10.22108/ijgt.2017.21481 |
| UAK Araştırma Alanları |
Cebir ve Sayılar Teorisi
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| Özet |
| Let L be a free Lie algebra of rank r= 2 over a field F and let Ln denote the degree nn homogeneous component of L. By using the dimensions of the corresponding homogeneous and fine homogeneous components of the second derived ideal of free centre-by-metabelian Lie algebra over a field F, we determine the dimension of [L2, L2, L1]. Moreover, by this method, we show that the dimension of [L2, L2, L1] over a field of characteristic 2 is different from the dimension over a field of characteristic other than 2. |
| Anahtar Kelimeler |
| Free centre-by-metabelian Lie algebra | Free Lie algebra | Homogeneous and fine homogeneous components | Second derived ideal |