Small Embeddings for Partial Semisymmetric and Totally Symmetric Quasigroups

DOI10.1112/jlms/s2-12.4.479zbMath0338.20099OpenAlexW1992369703MaRDI QIDQ4106798

Allan B. Cruse, Charles C. Lindner

Publication date: 1976

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-12.4.479

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)

Related Items (10)

Embedding coverings of 2-paths with 3-paths ⋮ Embedding partial totally symmetric quasigroups. ⋮ Small embeddings of partial directed cycle systems ⋮ Embedding partial Mendelsohn triple systems ⋮ Embedding partial extended triple systems and totally symmetric quasigroups ⋮ A construction of orthogonal arrays and applications to embedding theorems ⋮ Totally symmetric and semi-symmetric quasigroups have the intersection preserving finite embeddability property ⋮ A historical perspective of the theory of isotopisms ⋮ A generalization of the Doyen-Wilson theorem for extended triple systems of all indices ⋮ Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results

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