Show simple item record

Files in this item


Item metadata

dc.contributor.advisorRobertson, E. F.
dc.contributor.advisorCampbell, C. M. (Colin Matthew)
dc.contributor.authorIbrahim, Mohammed Ali Faya
dc.description.abstractIn this thesis we consider the following two fundamental problems for semigroup presentations: 1. Given a semigroup find a presentation defining it. 2. Given a presentation describe the semigroup defined by it. We also establish other related results. After an introduction in Chapter 1, we consider the first problem in Chapter 2, and establish a presentation for the commutative semigroup of integers Zpt. Dually, in Chapter 3 we consider the second problem and study presentations of semigroups related to the direct product of cyclic groups. In Chapter 4 we study presentations of semigroups related to dihedral groups and establish their V-classes structure in Chapter 5. In Chapter 6 we establish some results related to the Schutzenberger group which were suggested by our studies of the semigroup presentations in Chapters 3 and 4. Finally, in Chapter 7 we define and study new classes of semigroups which we call R, L-semi-commutative and semi-commutative semigroups and they were also suggested by our studies of the semigroup presentations in Chapters 3 and 4.en_US
dc.publisherUniversity of St Andrewsen
dc.subject.lcshGroup theoryen
dc.titleSemigroup presentationsen_US
dc.type.qualificationnamePhD Doctor of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US

This item appears in the following Collection(s)

Show simple item record