On the free metabelian Novikov and metabelian Lie-admissible algebras

DOI10.46298/CM.12877MaRDI QIDQ6623957

Kanat Abdukhalikov, A. Dauletiyarova, B. Sartayev

Publication date: 24 October 2024

Published in: Communications in Mathematics (Search for Journal in Brave)

zbMATH Keywords

free algebrapolynomial identitiesNovikov algebraLie-admissible algebrametabelian identity

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50) Lie-admissible algebras (17D25)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• \(S_n\)- and \(\mathrm{GL}_n\)-module structures on free Novikov algebras
• Power-associative Lie-admissible algebras
• Lie-admissible algebras and operads.
• Trees, free right-symmetric algebras, free Novikov algebras and identities
• Speciality of metabelian Mal'tsev algebras.
• Symmetric polynomials in the free metabelian Lie algebras
• Free Lie-admissible algebras and an analogue of the PBW theorem
• Algebras with one operation including Poisson and other Lie-admissible algebras
• Gröbner–Shirshov bases method for Gelfand–Dorfman–Novikov algebras
• ON THE AUTOMORPHISM GROUP OF A FREE METABELIAN LIE ALGEBRA
• VARIETIES OF METABELIAN LEIBNIZ ALGEBRAS
• Solvability and nilpotency of Novikov algebras
• A Class of Nonassociative Algebras
• Some Classes of Flexible Lie-Admissible Algebras
• Metabelian Lie and perm algebras
• On the Special Identities of Gelfand–Dorfman Algebras
• Assosymmetric operad
• Generators of symmetric polynomials in free metabelian Leibniz algebras

Related Items (1)

Mutations of \(\mathfrak{perm}\) algebras

This page was built for publication: On the free metabelian Novikov and metabelian Lie-admissible algebras

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6623957)