Abstract
In this work, n-th nilpotent and
minimal nilpotent products of parafree Lie algebras are examined and it is
shown that these products are parafree. Also, a base set is obtained for the
n-th nilpotent products of two abelian Lie
algebras that are nilpotent of class n.In this work, n-th nilpotent and minimal nilpotent products of parafree Lie algebras are examined and it is shown that these products are parafree. Also, a base set is obtained for the n-th nilpotent products of two abelian Lie algebras that are nilpotent of class n. In this work, n-th nilpotent and minimal nilpotent products of parafree Lie algebras are examined and it is shown that these products are parafree. Also, a base set is obtained for the n-th nilpotent products of two abelian Lie algebras that are nilpotent of class n.
References
- Akdoğan, N., 2014. Serbest Lie Cebirlerinin Çarpımları ve Rezidülü-P Cebirleri, Master Thesis, Çukurova Uni., Adana.
- Baumslag, G., Groups with the same lower central sequence as a relatively free group I. The groups, Trans. Amer. Math. Soc., 129, 308-321, 1967.
- Baumslag, G., Groups with the same lower central sequence as a relatively free group. II Properties, Trans. Amer. Math. Soc., 142, 507-538, 1969.
- Baur, H., Parafreie Lie algebren und homologie, Diss. Eth Nr., 6126, 1978.
- Golovin, O.N. 1950, Nilpotent Product of Groups. Mat. Sb. (N.S.), 27(69):3, 427-454.
- Velioğlu, Z., 2013. Paraserbest Lie Cebirleri, Ph.D Thesis, Çukurova Uni., Adana.
- Velioğlu, Z., and Ekici, N., 2019, Paraserbest Lie Cebirlerinin Metabelyen Çarpımı, 2-Simetrik Kelimeler ve Verbal Altcebir, Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 12(2), 771-777.
- Velioğlu, Z., 2019, Soluble Product of Parafree Lie algebras and Its Residual Properties, Applied Mathematics and Nonlinear Sciences, 4(1) , 1–5.
Abstract
In this work, n-th nilpotent and minimal nilpotent products of parafree Lie algebras are examined and it is shown that these products are parafree. Also, a base set is obtained for the n-th nilpotent products of two abelian Lie algebras that are nilpotent of class n. In this work, n-th nilpotent and minimal nilpotent products of parafree Lie algebras are examined and it is shown that these products are parafree. Also, a base set is obtained for the n-th nilpotent products of two abelian Lie algebras that are nilpotent of class n.In this work, n-th nilpotent and minimal nilpotent products of parafree Lie algebras are examined and it is shown that these products are parafree. Also, a base set is obtained for the n-th nilpotent products of two abelian Lie algebras that are nilpotent of class n.
References
- Akdoğan, N., 2014. Serbest Lie Cebirlerinin Çarpımları ve Rezidülü-P Cebirleri, Master Thesis, Çukurova Uni., Adana.
- Baumslag, G., Groups with the same lower central sequence as a relatively free group I. The groups, Trans. Amer. Math. Soc., 129, 308-321, 1967.
- Baumslag, G., Groups with the same lower central sequence as a relatively free group. II Properties, Trans. Amer. Math. Soc., 142, 507-538, 1969.
- Baur, H., Parafreie Lie algebren und homologie, Diss. Eth Nr., 6126, 1978.
- Golovin, O.N. 1950, Nilpotent Product of Groups. Mat. Sb. (N.S.), 27(69):3, 427-454.
- Velioğlu, Z., 2013. Paraserbest Lie Cebirleri, Ph.D Thesis, Çukurova Uni., Adana.
- Velioğlu, Z., and Ekici, N., 2019, Paraserbest Lie Cebirlerinin Metabelyen Çarpımı, 2-Simetrik Kelimeler ve Verbal Altcebir, Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 12(2), 771-777.
- Velioğlu, Z., 2019, Soluble Product of Parafree Lie algebras and Its Residual Properties, Applied Mathematics and Nonlinear Sciences, 4(1) , 1–5.
Details
| Primary Language | Turkish |
|---|---|
| Subjects | Engineering |
| Journal Section | Research Article |
| Authors | |
| Publication Date | August 31, 2020 |
| DOI | https://doi.org/10.18185/erzifbed.633463 |
| IZ | https://izlik.org/JA49WM36DY |
| Published in Issue | Year 2020 Volume: 13 Issue: 2 |