Towards a Better Understanding of the Semigroup Tree

Simple item page
dc.creatorBras-Amoros, Maria
dc.creatorBulygin, Stanislav
dc.date2008-10-09
dc.date.accessioned2026-07-07T10:08:45Z
dc.date.available2026-07-07T10:08:45Z
dc.descriptionIn this paper we elaborate on the structure of the semigroup tree and the regularities on the number of descendants of each node observed earlier. These regularites admit two different types of behavior and in this work we investigate which of the two types takes place in particular for well-known classes of semigroups. Also we study the question of what kind of chains appear in the tree and characterize the properties (like being (in)finite) thereof. We conclude with some thoughts that show how this study of the semigroup tree may help in solving the conjecture of Fibonacci-like behavior of the number of semigroups with given genus.
dc.description17 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0810.1619
dc.identifierhttp://arxiv.org/abs/0810.1619
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171101
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subject20M14; 05A05
dc.titleTowards a Better Understanding of the Semigroup Tree
dc.typetext

Files

Collections

arXiv