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

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2006
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2006
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/157397
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...