3-nil alternative, pre-Lie and assosymmetric operads
| dc.contributor.author | Tekebay A. | |
| dc.date.accessioned | 2026-09-09T04:06:55Z | |
| dc.date.available | 2026-09-09T04:06:55Z | |
| dc.date.issued | 2026 | |
| dc.description.abstract | An algebra is called alternative if it satisfies the following identities: (ab)c − a(bc) = −(ac)b + a(cb), (ab)c − a(bc) = −(ba)c + b(ac). In this dissertation, we consider free alternative algebra with the additional identity x 3 = 0. For motivation, we refer to the dual operad of the alternative operad. Also, we obtain pre-Lie algebra with the identity x 3 = 0 from binary perm algebra. Finally, we consider assosymmetric algebra with identity x 3 = 0 | |
| dc.identifier.citation | Tekebay A / 3-nil alternative, pre-Lie and assosymmetric operads / SDU University / Department of Mathematics and Natural Sciences | |
| dc.identifier.uri | https://repository.sdu.edu.kz/handle/123456789/2653 | |
| dc.language.iso | en | |
| dc.publisher | SDU University | |
| dc.subject | Anti-Leibniz algebras | |
| dc.subject | The variety of alternative algebras | |
| dc.subject | Koszul dual operad | |
| dc.title | 3-nil alternative, pre-Lie and assosymmetric operads | |
| dc.type | Thesis |