From trigroups to Leibniz 3-algebras [Articol]
| dc.contributor.author | Biyogmam, Guy | en |
| dc.contributor.author | Tcheka, Calvin | en |
| dc.date.accessioned | 2026-06-08T13:51:18Z | |
| dc.date.issued | 2026 | |
| dc.description.abstract | In this paper, we study the category of trigroups as a generalization of the notion of digroup [5] and analyze their relationship with 3-racks [1] and Leibniz 3algebras [3]. Trigroups are essentially associative trioids in which there are bar-units and bar-inverses. We prove that 3-racks can be constructed by conjugating trigroups. We also prove that trigroups equipped with a smooth manifold structure produce Leibniz 3-algebras via their associated Lie 3-racks. | en |
| dc.identifier.citation | BIYOGMAM, Guy and Calvin TCHEKA. From trigroups to Leibniz 3-algebras. Quasigroups and Related Systems, 2026, vol. 34, nr. 1, pp. 31-44. ISSN 1561-2848. Disponibil: https://doi.org/10.56415/qrs.v34.04 | en |
| dc.identifier.issn | 1561-2848 | |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/20885 | |
| dc.identifier.uri | https://doi.org/10.56415/qrs.v34.04 | |
| dc.language.iso | en | |
| dc.publisher | Moldova State University | en |
| dc.subject | digroup | en |
| dc.subject | 3-rack | en |
| dc.subject | trigroup | en |
| dc.subject | Leibniz 3-algebra | en |
| dc.title | From trigroups to Leibniz 3-algebras [Articol] | en |
| dc.type | Article |