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

• Date: 2018
• Main Author: Stronska, Anna
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: semigroup; order-decreasing; non-isomorphic; 20M20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/911
• Journal Title: 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...