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

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...

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Bibliographic Details
Date:2025
Main Authors: Passararat, Boonnisa, Koppitz, Jörg
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2025
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2353
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics