| Yazarlar |
Doç. Dr. Nil MANSUROĞLU
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| The parafree Leibniz algebras are a special class of Leibniz algebras which have many properties with a free Leibniz algebra. In this note, we introduce the structure of parafree Leibniz algebras. We survey the important results in parafree Leibniz algebras which are analogs of corresponding results in parafree Lie algebras. We first investigate some properties of subalgebras and quotient algebras of parafree Leibniz algebras. Then, we describe the direct sum of parafree Leibniz algebras. We show that the direct sum of two parafree Leibniz algebras is a Leibniz algebra. Furthermore, we prove that the direct sum of two parafree Leibniz algebras is again parafree. |
| Anahtar Kelimeler |
| Parafree Leibniz algebra,subalgebras,quotient algebras,direct sum |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayımlanan tam makale |
| Dergi Adı | Celal Bayar Üniversitesi Fen Bilimleri Dergisi |
| Dergi ISSN | 1305-130X |
| Dergi Tarandığı Indeksler | TR DİZİN |
| Makale Dili | Türkçe |
| Basım Tarihi | 01-2022 |
| Doi Numarası | 10.18466/cbayarfbe.1072438 |
| Makale Linki | http://dx.doi.org/10.18466/cbayarfbe.1072438 |
