Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree

• Datum: 2018
• 1. Verfasser: Stronska, Anna
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: semigroup; order-decreasing; non-isomorphic; 20M20
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/911
• Назва журналу: Algebra and Discrete Mathematics

This paper deals with a semigroup of order-decreasing transformations of a rooted tree.  Such are the transformations \(\alpha\) of some rooted tree \(G\) satisfying following condition: for any \(x\) from \(G\) \(\alpha(x)\) belongs to a simple path from \(x\) to the root vertex of \(G\). We descri...