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

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...

Full description

Saved in:
Bibliographic Details
Date:2026
Main Authors: Chaichompoo, Utsithon, Koppitz, Jörg, Mati, Yananan
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2026
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2469
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Algebra and Discrete Mathematics
Download file: Pdf

Institution

Algebra and Discrete Mathematics