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

Authors : Zehra VELİOGLU

Pages : 917-922

Doi:10.18185/erzifbed.633463

View : 13 | Download : 4

Publication Date : 2020-08-31

Article Type : Research Paper

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.
Keywords : Parafree Lie algebras, Free Lie Algebras, Nlpotent Product