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Semigroup presentations
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dc.contributor.advisor | Robertson, E. F. | |
dc.contributor.advisor | Campbell, C. M. (Colin Matthew) | |
dc.contributor.author | Ibrahim, Mohammed Ali Faya | |
dc.date.accessioned | 2018-06-04T09:59:41Z | |
dc.date.available | 2018-06-04T09:59:41Z | |
dc.date.issued | 1997 | |
dc.identifier.uri | https://hdl.handle.net/10023/13689 | |
dc.description.abstract | In 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.language.iso | en | en_US |
dc.publisher | University of St Andrews | en |
dc.subject.lcc | QA171.I2 | |
dc.subject.lcsh | Group theory | en |
dc.title | Semigroup presentations | en_US |
dc.type | Thesis | 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 |
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