On Pre-Novikov Algebras and Derived Zinbiel Variety
For a non-associative algebra 𝐴 with a derivation 𝑑, its derived algebra 𝐴⁽ᵈ⁾ is the same space equipped with new operations 𝑎 ≻ 𝑏 = 𝑑(𝑎)𝑏, 𝑎 ≺ 𝑏 = 𝑎𝑑(𝑏), 𝑎, 𝑏 ∈ 𝐴. Given a variety Var of algebras, its derived variety is generated by all derived algebras 𝐴⁽ᵈ⁾ for all 𝐴 in Var and for all derivations...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2024 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2024
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212106 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On Pre-Novikov Algebras and Derived Zinbiel Variety. Pavel Kolesnikov, Farukh Mashurov and Bauyrzhan Sartayev. SIGMA 20 (2024), 017, 15 pages |