Geodesic
Steiner triple algebras
Barry J. Gardner1 ; Barry J. Gardner
1Discipline of Mathematics, University of Tasmania, Hobart, Australia
Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 1, pp. 27-42 
Barry J. Gardner; Barry J. Gardner. Steiner triple algebras. Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 1, pp. 27-42. http://geodesic.mathdoc.fr/item/AMUC_2021_90_1_a2/
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     title = { Steiner triple algebras},
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     pages = {27--42},
     year = {2021},
     volume = {90},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2021_90_1_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

Algebras over arbitrary fields whose basis is a Steiner triple system for which ab=\pm c for every triple {a,b,c} are considered. Constraints on the triple system imposed by the requirement that the algebra satisfies various identities are investigated.