Theoretical analysis demonstrates tame automorphism reducibility in free metabelian Novikov algebras, providing an algebraic framework for automorphism recognition.
In this paper, we study automorphisms of finitely generated free metabelian Novikov algebras and show that every tame automorphism of a two-generated free right nilpotent Novikov algebra of index 3 is simple reducible. We offer a method on recognizing automorphisms of finitely generated free metabelian Novikov algebras by using the theory of Gröbner–Shirshov basis.
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Bokut et al. (2024) studied this question.
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