| Yazarlar (1) |
Doç. Dr. Nil MANSUROĞLU
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| In 1993, Leibniz algebras were firstly described by Loday as a non-(anti) commutative generalization of Lie algebras. In paper (Loday and Pirashvili,(1993)) by the point of view of homological algebras, these algebras were investigated by Loday and Pirashvili. Leibniz algebras are natural generalizations of Lie algebras. In literature there have been various studies which were draw attention to results natural and to results showing the differences and the analogs between Leibniz algebras and Lie algebras. In (Frolova, 2011), Frolova proved that any Leibniz algebra over a field of characteristic zero with the Engel identity is nilpotent. In this note, our main goal is to commence the systematic study of-Engel Leibniz algebras. We give a description of-Engel Leibniz algebras. The main result of the paper is a generalization of the result of EI Zelmanov (Zelmanov, 1987) concerning the nilpotency of an-Engel Lie algebras over a field of characteristic zero to the case of Leibniz algebras. Throughout of the paper we fix a field of characteristic zero. |
| Anahtar Kelimeler |
| Kitap Adı | Academic Studies in Science and Mathematics-II |
| Bölüm(ler) | n-Engel Leibniz algebras |
| Kitap Türü | Kitap Bölümü |
| Kitap Alt Türü | Alanında uluslararası yayınlanan kitap bölümü |
| Kitap Niteliği | Diğer uluslararası bilimsel kitap |
| Kitap Dili | İngilizce |
| Basım Tarihi | 01-2020 |
| ISBN | 3456-6789 |
| Basıldığı Ülke | Türkiye |
| Basıldığı Şehir | Ankara |
