Oriented Steiner quasigroups

Autor(es)

Stuhl, Izabella ^{[1, 2]}

Afiliação do(s) autor(es)

^[1] Univ Debrecen, H-4010 Debrecen - Hungary

^[2] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 13, n. 8 DEC 2014.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 11/51845-5 - Loopos analíticos, finitos e quasi-grupos
• Beneficiário: Izabella Stuhl
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado