Nilpotent Product of Parafree Lie Algebras and A Basis of This Product

Yıl 2020, , 917 - 922, 31.08.2020

Zehra Velioglu

https://doi.org/10.18185/erzifbed.633463

Öz

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.

Anahtar Kelimeler

Parafree Lie algebras, Free Lie Algebras, Nlpotent Product

Nilpotent Product of Parafree Lie Algebras and A Basis of This Product

Öz

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.

Anahtar Kelimeler

Parafree Lie algebras,, Free Lie Algebras, Nilpotent product

Kaynakça

• Akdoğan, N., 2014. Serbest Lie Cebirlerinin Çarpımları ve Rezidülü-P Cebirleri, Master Thesis, Çukurova Uni., Adana.
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• 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.