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

• Published in: Algebra and Discrete Mathematics
• Date: 2006
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157397
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree / A. Stronska // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 4. — С. 126–140. — Бібліогр.: 8 назв. — англ.

This paper deals with a semigroup of orderdecreasing transformations of a rooted tree. Such are the transformations α of some rooted tree G satisfying following condition: for any x from G α(x) belongs to a simple path from x to the root vertex of G. We describe all subsemigroups of the mentioned...