The inverse semigroup of all fence-preserving injections and its maximal subsemigroups

• Datum: 2025
• Hauptverfasser: Passararat, Boonnisa, Koppitz, Jörg
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2025
• Schlagworte: partial transformations; fence-preserving; inverse semigroup; maximal subsemigroups; 20M20; 20M10
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2353
• Назва журналу: Algebra and Discrete Mathematics

In this paper, we study the inverse semigroup \(IF_{n}\) of all partial injections \(\alpha\) on an \(n\)-element set such that both \(\alpha\) and \(\alpha^{-1}\) are fence-preserving (preserve the zig-zag order). The main result of this paper is the characterization of the maximal subsemigroups of...