| dc.contributor.author | Makonzi, Brian | |
| dc.date.accessioned | 2018-12-05T08:07:11Z | |
| dc.date.available | 2018-12-05T08:07:11Z | |
| dc.date.issued | 2018-11-30 | |
| dc.identifier.citation | Makonzi, B. (2018). Localization in different categories. Unpublished Masters Thesis. Makerere University. | en_US |
| dc.identifier.uri | http://hdl.handle.net/10570/6836 | |
| dc.description | A thesis submitted to the Directorate of Research and Graduate Training in partial fulfillment of the requirements for the award of the Degree of Masters of Science in Mathematics of Makerere University. | en_US |
| dc.description.abstract | Localization can be thought of as a systematic way of inverting morphisms in a category to construct a new one. This can be formulated accurately in terms of a universal property. In this study, we looked at localization in some special cases such as in a ring for both the commutative and non-commutative case, module over a commutative ring and in a more general setting, which is localization of the homotopy category of complexes to obtain the derived category. Analysis of the different localizations involved investigations into the localizing class, the universal property and Ore conditions imposed in each case and it was shown that localization has almost the same properties for different categories. An analysis in the relationship of localization in different categories was carried out to obtain the general properties such as the localizing class, Ore conditions and the universal property of localization to enable one localize an arbitrary category as provided in this study. | en_US |
| dc.description.sponsorship | Eastern Africa Universities Mathematics Programme (EAUMP). | en_US |
| dc.language.iso | en | en_US |
| dc.subject | Localization | en_US |
| dc.subject | inverting morphisms | en_US |
| dc.title | Localization in different categories | en_US |
| dc.type | Thesis | en_US |
