On Parafree Leibniz Algebras
Yıl: 2022 Cilt: 18 Sayı: 3 Sayfa Aralığı: 275 - 278 Metin Dili: İngilizce DOI: 10.18466/cbayarfbe.1072438 İndeks Tarihi: 03-10-2022
On Parafree Leibniz Algebras
Öz: 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 Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1]. Bahturin, Y. Identity relations in Lie algebras, VNU Science Press, Utrecht, 1987.
- [2]. Baur, H. 1980. A note on parafree Lie algebras, Commun. in Alg.; 8(10): 953-960.
- [3]. Baur, H. 1978. Parafreie Lie algebren and homologie, Diss. Eth Nr.; 6126: 60 pp.
- [4]. Bloh, A.M. 1965. A generalization of the concept of Lie algebra, Dokl. Akad. Nauk SSSR; 165: 471-473.
- [5]. A.M. Bloh, A.M. 1971. A certain generalization of the concept of Lie algebra, Algebra and Number Theory, Moskow. Gos. Ped. Inst. U`cen; 375: 9-20.
- [6]. Ekici, N, Velioğlu, Z. 2014. Unions of Parafree Lie algebras, Algebra; Article ID 385397.
- [7]. Ekici, N, Velioğlu, Z. 2015. Direct Limit of Parafree Lie algebras, Journal of Lie Theory; 25(2): 477-484.
- [8]. Evans, T. 1969. Finitely presented loops, lattices, etc. are Hopfian, J. London Math. Soc.; 44: 551-552.
- [9]. Loday, J.L. 1993. Une version non commutative des algebres de Lie, les algebres de Leibniz. Enseign Math.; 39: 269-293.
- [10]. Loday, J.L., Pirashvili, T. 1993. Universal enveloping algebras of Leibniz algebras and (co)homology, Math. Ann.; 269(1): 139-158.
- [11]. Velioğlu, Z. 2013. Subalgebras and Quotient algebras of Parafree Lie algebras, I. Journal Pure and Applied Maths.; 83(3): 507-514.
- [12]. Velioğlu, Z. 2013. Direct Sum and Free Factors of Parafree Lie Algebras, I. Journal Pure and Applied Maths.; 83(4): 601-606.
| APA | MANSUROĞLU N (2022). On Parafree Leibniz Algebras. , 275 - 278. 10.18466/cbayarfbe.1072438 |
| Chicago | MANSUROĞLU Nil On Parafree Leibniz Algebras. (2022): 275 - 278. 10.18466/cbayarfbe.1072438 |
| MLA | MANSUROĞLU Nil On Parafree Leibniz Algebras. , 2022, ss.275 - 278. 10.18466/cbayarfbe.1072438 |
| AMA | MANSUROĞLU N On Parafree Leibniz Algebras. . 2022; 275 - 278. 10.18466/cbayarfbe.1072438 |
| Vancouver | MANSUROĞLU N On Parafree Leibniz Algebras. . 2022; 275 - 278. 10.18466/cbayarfbe.1072438 |
| IEEE | MANSUROĞLU N "On Parafree Leibniz Algebras." , ss.275 - 278, 2022. 10.18466/cbayarfbe.1072438 |
| ISNAD | MANSUROĞLU, Nil. "On Parafree Leibniz Algebras". (2022), 275-278. https://doi.org/10.18466/cbayarfbe.1072438 |
| APA | MANSUROĞLU N (2022). On Parafree Leibniz Algebras. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 18(3), 275 - 278. 10.18466/cbayarfbe.1072438 |
| Chicago | MANSUROĞLU Nil On Parafree Leibniz Algebras. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 18, no.3 (2022): 275 - 278. 10.18466/cbayarfbe.1072438 |
| MLA | MANSUROĞLU Nil On Parafree Leibniz Algebras. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, vol.18, no.3, 2022, ss.275 - 278. 10.18466/cbayarfbe.1072438 |
| AMA | MANSUROĞLU N On Parafree Leibniz Algebras. Celal Bayar Üniversitesi Fen Bilimleri Dergisi. 2022; 18(3): 275 - 278. 10.18466/cbayarfbe.1072438 |
| Vancouver | MANSUROĞLU N On Parafree Leibniz Algebras. Celal Bayar Üniversitesi Fen Bilimleri Dergisi. 2022; 18(3): 275 - 278. 10.18466/cbayarfbe.1072438 |
| IEEE | MANSUROĞLU N "On Parafree Leibniz Algebras." Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 18, ss.275 - 278, 2022. 10.18466/cbayarfbe.1072438 |
| ISNAD | MANSUROĞLU, Nil. "On Parafree Leibniz Algebras". Celal Bayar Üniversitesi Fen Bilimleri Dergisi 18/3 (2022), 275-278. https://doi.org/10.18466/cbayarfbe.1072438 |
