All maximal congruences on an inverse semigroup of fence-preserving transformations

• Datum: 2026
• Hauptverfasser: Chaichompoo, Utsithon, Koppitz, Jörg, Mati, Yananan
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2026
• Schlagworte: partial injection; inverse semigroup; zig-zag order; maximal congruence; 20M20; 20M05
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2469
• Назва журналу: Algebra and Discrete Mathematics

We study the inverse semigroup of all partial injections on an \(n\)-element set \(\{1,...,n\}\), which preserve the zig-zag order \(1\prec 2\succ 3\prec 4\succ \cdots n\) and the parity for some positive integer \(n\). We characterize all maximal congruences on this inverse semigroup, which are ent...