Groupoids associated with the ternary ring of a projective plane

DOI10.1007/BF01237490zbMath0897.20047WikidataQ63549374 ScholiaQ63549374MaRDI QIDQ1385210

Walter Benz, Khuloud Ghalieh

Publication date: 20 October 1998

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

projective planesloopsbinary operationsquasigroupsgroupoidsternary rings

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Sets with a single binary operation (groupoids) (20N02) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Ternary compositions (17A40) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05) Ternary systems (heaps, semiheaps, heapoids, etc.) (20N10)

Related Items (2)

A groupoid connecting the two groupoids \((R,+)\) and \((R,\ast)\) associated with the ternary ring of a projective plane ⋮ Bi-Element Representations of Ternary Groups^#

Cites Work

• A groupoid of the ternary ring of a projective plane
• On minor forms of Desargues and Pappus
• The dual of addition in the ternary ring of a projective plane
• Algebraic properties of some configurational propositions
• Unnamed Item

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