On the solvability of graded Novikov algebras
From MaRDI portal
Publication:5021450
DOI10.1142/S0218196721500491zbMath1497.17047arXiv2103.07464OpenAlexW3180208217MaRDI QIDQ5021450
Viktor Nikolaevich Zhelyabin, Ualbei Utmakhanbetovich Umirbaev
Publication date: 13 January 2022
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.07464
Graded Lie (super)algebras (17B70) Solvable, nilpotent (super)algebras (17B30) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)
Related Items (7)
On the Lie-solvability of Novikov algebras ⋮ Polynomial identities in Novikov algebras ⋮ Representations via differential algebras and equationally Noetherian algebras ⋮ On radicals of Novikov algebras ⋮ On simple left-symmetric algebras ⋮ Novikov \(\mathbb{Z}_2 \)-graded algebras with an associative 0-component ⋮ Semiprime Novikov algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solvability of alternative \(\mathbb{Z}_ 2\)-graded algebras and alternative superalgebras
- On simple Novikov algebras and their irreducible modules
- Galois extensions and quotient rings
- Fixed elements of Jordan automorphisms of associative rings
- Infinite dimensional Novikov algebras of characteristic \(O\)
- On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem
- On right-symmetric and Novikov nil algebras of bounded index.
- Subrings of invariants of the finite group of automorphisms of a Jordan ring
- A class of simple nonassociative algebras
- Jordan superalgebras with a solvable even part
- A Dixmier theorem for Poisson enveloping algebras
- Solvability of a Lie algebra containing a regular automorphism
- On solvability of Jordan nil-algebras
- The Freiheitssatz for Novikov algebras
- Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
- Simple novikov algebras with an idempotent
- Solvability and nilpotency of Novikov algebras
- Engel Theorem for Novikov Algebras
- Rings with Fixed-Point-Free Group Actions
- Classification of simple Novikov algebras and their irreducible modules of characteristic 0
This page was built for publication: On the solvability of graded Novikov algebras