Symmetric polynomials in the free metabelian associative algebra of rank 2

DOI10.55730/1300-0098.3233OpenAlexW4285129213MaRDI QIDQ5103891

Şehmus Findik

Publication date: 9 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3233

zbMATH Keywords

metabeliansymmetric polynomial

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30)

Cites Work

• On the extension of automorphisms of polynomial rings
• Symmetric polynomials in the free metabelian Lie algebras
• Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables
• Symmetric polynomials of algebras related with 2 × 2 generic traceless matrices
• Symmetric polynomials in Leibniz algebras and their inner automorphisms
• Palindromes in the free metabelian Lie algebras
• Symmetric polynomials in the variety generated by Grassmann algebras
• Symmetric polynomials in the free metabelian Poisson algebras

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