| Yazarlar (2) |
Doç. Dr. Nil MANSUROĞLU
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Mücahit Özkaya
|
| Özet |
| Leibniz algebras are generalization of Lie algebras. As an immediate consequence, every Lie algebras are Leibniz algebras. Recall that a Leibniz algebra L is finite dimensional if the dimension of algebra L as a vector space over a field is finite. The condition to be finite dimensional is very strong. That is why the majority of results on Leibniz algebras were obtained for finite dimensional Leibniz algebras. In literature, there are many studies on one dimensional and two dimensional Leibniz algebras. The structure of three dimensional Leibniz algebras are more complicated than the structure of one dimensional and two dimensional Leibniz algebras. Investigation of Leibniz algebras, having dimensions 3 and 4 has been conducted in many papers, but only for the case of algebra over a field of characteristic 0. In this note, firstly we show that 1-dimensional Leibniz algebras are abelian. Then we deal with the structure of 2-dimensional Leibniz algebras and we give two non-isomorphic non-Lie 2-dimensional Leibniz algebras. Our main goal is to investigate three dimensional non-Lie Leibniz algebras. Moreover, we prove that if L is a three dimensional non-Lie Leibniz algebra, then there exists a one Leibniz algebra which is isomorphic to L. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayınlanan tam makale |
| Dergi Adı | International Journal of Scientific and Technological Research |
| Dergi ISSN | 2422-8702 |
| Dergi Tarandığı Indeksler | Leuphana Unlversltlt LUneburg Germany, Leibniz Information Centre for Sclen Technology and University Library, German National Library of Science and Technology, Open Academic . Google Scholar, The Library Book, India Clros HI-Tech, Engineering Group, Research Junction, Heldelber' Library, UU Foundation, StudyUB |
| Makale Dili | İngilizce |
| Basım Tarihi | 03-2019 |
| Cilt No | 5 |
| Sayı | 2 |
| Sayfalar | 129 / 133 |
| Doi Numarası | DOI: 10.7176/JSTR/5-2-15 |
| Atıf Sayıları | |
| Google Scholar | 1 |
