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Free metabelian nilpotent leibniz algebras

2025
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Advisor: Prof. Dr. Zeynep Özkurt

Abstract (EN)

In this thesis, first of all, it is shown that a free metabelian nilpotent Leibniz algebra of finite rank m and class 3 or greater than 3 is a free left nilpotent Leibniz algebra of finite rank m and class 3. A basis of this algebra class is given. The symmetric polynomials of free left nilpotent Leibniz algebras of rank 2 are examined and the general form of these symmetric polynomials is obtained. A generated set is obtained for the symmetric polynomials of free left nilpotent Leibniz algebras of rank 2. Keywords: Free metabelian nilpotent Leibniz algebras, symmetric polynomi

Author

Utku Koşak

How to Cite

Utku Koşak (Master Thesis). Free metabelian nilpotent leibniz algebras, 2025, Çukurova University.

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