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

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...

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Bibliographic Details
Main Author: Stronska, Anna
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/911
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