TY  - JOUR
T1  - Nilpotent Product of Parafree Lie Algebras and A Basis of This Product
TT  - Nilpotent Product of Parafree Lie Algebras and A Basis of This Product
AU  - Velioglu, Zehra
PY  - 2020
DA  - August
DO  - 10.18185/erzifbed.633463
JF  - Erzincan University Journal of Science and Technology
PB  - Erzincan Binali Yıldırım Üniversitesi
WT  - DergiPark
SN  - 2149-4584
SP  - 917
EP  - 922
VL  - 13
IS  - 2
LA  - tr
AB  - In this work, n-th nilpotent andminimal nilpotent products of parafree Lie algebras are examined and it isshown that these products are parafree. Also, a base set is obtained for then-th nilpotent products of two abelian Liealgebras 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.
KW  - Parafree Lie algebras
KW  - Free Lie Algebras
KW  - Nlpotent Product
N2  - 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.
CR  - Akdoğan, N., 2014. Serbest Lie Cebirlerinin Çarpımları ve Rezidülü-P Cebirleri, Master Thesis, Çukurova Uni., Adana.
CR  - 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.
CR  - Baumslag, G., Groups with the same lower central sequence as a relatively free group. II Properties, Trans. Amer. Math. Soc., 142, 507-538, 1969.
CR  - Baur, H., Parafreie Lie algebren und homologie, Diss. Eth Nr., 6126, 1978.
CR  - Golovin, O.N. 1950, Nilpotent Product of Groups. Mat. Sb. (N.S.), 27(69):3, 427-454.
CR  - Velioğlu, Z., 2013. Paraserbest Lie Cebirleri, Ph.D Thesis, Çukurova Uni., Adana.
CR  - 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.
CR  - Velioğlu, Z., 2019, Soluble Product of Parafree Lie algebras and Its Residual Properties, Applied Mathematics and Nonlinear Sciences,  4(1) , 1–5.
UR  - https://doi.org/10.18185/erzifbed.633463
L1  - https://dergipark.org.tr/tr/download/article-file/831561
ER  -