Schröder quasigroups with a specified number of idempotents

DOI10.1016/J.DISC.2011.10.009zbMath1237.05024OpenAlexW2056137755MaRDI QIDQ764872

Frank E. Bennett, Han-Tao Zhang

Publication date: 16 March 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.10.009

zbMATH Keywords

Latin squaresorthogonal arraysholey Schroeder designHSDSchroeder designsSchroeder quasigroups

Mathematics Subject Classification ID

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

Related Items (1)

Holey Schröder designs of type \(3^n u^1\)

Cites Work

• Edge-coloured designs with block size four
• On the construction of Schroeder quasigroups
• Balanced incomplete block designs and related designs
• Group divisible designs with block-size four
• Quasigroups and tactical systems
• The existence of Schröder designs with equal-sized holes
• Existence of frame SOLS of type \(a^n b^1\)
• Incomplete idempotent Schröder quasigroups and related packing designs
• [https://portal.mardi4nfdi.de/wiki/Publication:4222126 Holey Schr�der designs of type 2nu1]
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