| Full text | |
| Author(s): |
Stuhl, Izabella
[1, 2]
Total Authors: 1
|
| Affiliation: | [1] Univ Debrecen, H-4010 Debrecen - Hungary
[2] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 13, n. 8 DEC 2014. |
| Web of Science Citations: | 2 |
| Abstract | |
We introduce the notion of an oriented Steiner quasigroup and develop elements of a relevant algebraic apparatus. The approach is based upon (modified) Schreier-type f-extensions for quasigroups (cf. earlier works {[}10, 11, 14]) achieved through oriented Steiner triple systems. This is done in a fashion similar to one in {[}13] where an analogous construction was established for loops. As a justification of this concept we briefly discuss an application of oriented Steiner triple systems in cryptography using oriented Steiner quasigroups. (AU) | |
| FAPESP's process: | 11/51845-5 - Analytical, finite and quasi-group loops |
| Grantee: | Izabella Stuhl |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |