The structure of the second derived ideal of freecentre by metabelian Lie rings
Yazarlar (1)
Doç. Dr. Nil MANSUROĞLU Kırşehir Ahi Evran Üniversitesi, Türkiye
| Bildiri Türü |
Tebliğ/Bildiri
|
Bildiri Dili | İngilizce |
| Bildiri Alt Türü | Özet Metin Olarak Yayınlanan Tebliğ (Uluslararası Kongre/Sempozyum) | ||
| Bildiri Niteliği | Alanında Hakemli Uluslararası Kongre/Sempozyum | ||
| Kongre Adı | Antalya Algebra days XVII | ||
| Kongre Tarihi | 20-05-2015 / 24-05-2015 | ||
| Basıldığı Ülke | Türkiye | Basıldığı Şehir | İzmir |
| Özet |
| We study the free centre-by-metabelian Lie ring, that is, the free Lie ring with the property that the second derived ideal is contained in the centre. We exhibit explicit generating sets for the homogeneous components and the fine homogeneous components of the second derived ideal. Each of these components is a direct sum of a free abelian group and a (possibly trivial) elementary abelian 2-group. Our generating sets are such that some of their elements generate the torsion subgroup while the remaining ones freely generate a free abelian group. A key ingredient of our approach is the determination of the dimensions of the corresponding homogeneous components of the free centre-by-metabelian Lie algebra over fields of characteristic other than 2. For this we exploit a 6-term exact sequence of modules over a polynomial ring that is originally defined over the integers, but turns into a sequence whose terms are … |
| Anahtar Kelimeler |
