Semi-cross product and extension theory of gyrogroups [Articol]
| dc.contributor.author | Kumar, Akshay | en |
| dc.contributor.author | Pandey, Mani Shankar | en |
| dc.contributor.author | Kushwaha, Seema | en |
| dc.contributor.author | Upadhyay, Sumit Kumar | en |
| dc.date.accessioned | 2026-06-04T09:48:55Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | We present the concept of a semi-cross product between a group and a gyrogroup, offering a means to construct a broader range of gyrogroups. Also, we develop the Schrier’s extension theory of gyrogroups. Consequently, we prove that a 2-fold extension feg ! H ! G ! K ! feg of a group H by a gyrogroup K splits if and only if G is a semi-cross product of H and K. Furthermore, we establish an equivalence between the category GEXT of group-gyro extensions, and the category GFAC of group-gyro factor systems. | en |
| dc.identifier.citation | KUMAR, Akshay; Mani Shankar PANDEY; Seema KUSHWAHA and Sumit Kumar UPADHYAY. Semi-cross product and extension theory of gyrogroups. Quasigroups and related systems, 2025, vol.33, nr.1, pp. 37-56. ISSN 1561-2848. Disponibil: https://doi.org/10.56415/qrs.v33.04 | en |
| dc.identifier.issn | 1561-2848 | |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/20854 | |
| dc.identifier.uri | https://doi.org/10.56415/qrs.v33.04 | |
| dc.language.iso | en | |
| dc.publisher | Moldova State University | en |
| dc.subject | 20A99 | en |
| dc.subject | 19C09 | en |
| dc.subject | 20C99 | en |
| dc.subject | 20N05 | en |
| dc.subject | 05E18 | en |
| dc.subject | gyrogroup | en |
| dc.subject | semi-cross product | en |
| dc.subject | extension | en |
| dc.title | Semi-cross product and extension theory of gyrogroups [Articol] | en |
| dc.type | Article |