Files in this item
Automatic semigroups : constructions and subsemigroups
Item metadata
dc.contributor.advisor | Ruškuc, Nik | |
dc.contributor.author | Descalco, L. | |
dc.coverage.spatial | 163 p. | en_US |
dc.date.accessioned | 2018-07-09T11:34:37Z | |
dc.date.available | 2018-07-09T11:34:37Z | |
dc.date.issued | 2002 | |
dc.identifier.uri | https://hdl.handle.net/10023/15122 | |
dc.description.abstract | In this thesis we start by considering conditions under which some standard semigroup constructions preserve automaticity. We first consider Rees matrix semigroups over a semigroup, which we call the base, and work on the following questions: (i) If the base is automatic is the Rees matrix semigroup automatic? (ii) If the Rees matrix semigroup is automatic must the base be automatic as well? We also consider similar questions for Bruck-Reilly extensions of monoids and wreath products of semigroups. Then we consider subsemigroups of free products of semigroups and we study conditions that guarantee them to be automatic. Finally we obtain a description of the subsemigroups of the bicyclic monoid that allow us to study some of their properties, which include finite generation, automaticity and finite presentability. | en_US |
dc.language.iso | en | en_US |
dc.publisher | University of St Andrews | en |
dc.subject.lcc | QA182.D4 | |
dc.subject.lcsh | Semigroups | en |
dc.title | Automatic semigroups : constructions and subsemigroups | en_US |
dc.type | Thesis | en_US |
dc.contributor.sponsor | Fundação para a Ciência e Tecnologia (Portugal) | en_US |
dc.type.qualificationlevel | Doctoral | en_US |
dc.type.qualificationname | PhD Doctor of Philosophy | en_US |
dc.publisher.institution | The University of St Andrews | en_US |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.