Construction of medial ternary self-orthogonal quasigroupsm

DOI10.56415/BASM.Y2022.I3.P41zbMath1530.20199OpenAlexW4380183587MaRDI QIDQ6082424

Fedir M. Sokhatsky, Iryna V. Fryz

Publication date: 29 November 2023

Published in: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.56415/basm.y2022.i3.p41

zbMATH Keywords

determinantpolynomialmedial quasigroupcentral quasigroupself-orthogonal quasigrouporthogonal quasigroupsstrongly self-orthogonal quasigroup

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Ternary systems (heaps, semiheaps, heapoids, etc.) (20N10)

Cites Work

• Strong forms of orthogonality for sets of hypercubes
• The construction of orthogonal k-skeins and latin k-cubes
• Totally conjugate orthogonal quasigroups and complete graphs.
• Block composition algorithm for constructing orthogonal \(n\)-ary operations
• On Orthogonal Latin p-Dimensional Cubes
• On construction of orthogonal d-ary operations
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