Identities of the left-symmetric Witt algebras

DOI10.1142/S021819671650017XzbMath1337.16018arXiv1508.04668OpenAlexW2283364391MaRDI QIDQ2799128

Daniyar Kozybaev, Ualbei Utmakhanbetovich Umirbaev

Publication date: 8 April 2016

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04668

zbMATH Keywords

bases of identitiesassociatorspolynomial identitiesfree algebrasvarieties of algebrasmultiplication algebrasleft-symmetric algebrastriangular derivationsalgebras of derivations

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Rings of differential operators (associative algebraic aspects) (16S32) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50) Lie-admissible algebras (17D25)

Related Items (8)

Some examples of nonassociative coalgebras and supercoalgebras ⋮ On the Lie-solvability of Novikov algebras ⋮ -graded identities of the Lie algebras in characteristic 2 ⋮ Dual coalgebras of Jacobian \(n\)-Lie algebras over polynomial rings ⋮ \(\mathbb{Z}\)-graded identities of the Lie algebras \(U_1\) ⋮ Representations via differential algebras and equationally Noetherian algebras ⋮ On simple left-symmetric algebras ⋮ Left-symmetric algebras of derivations of free algebras

Cites Work

• Unnamed Item
• On right-symmetric and Novikov nil algebras of bounded index.
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• The Freiheitssatz for Novikov algebras
• THE FREIHEITSSATZ AND THE AUTOMORPHISMS OF FREE RIGHT-SYMMETRIC ALGEBRAS
• Minimal Identities for Algebras

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