| dc.contributor.author | Guma, Darius | |
| dc.date.accessioned | 2023-01-10T09:59:05Z | |
| dc.date.available | 2023-01-10T09:59:05Z | |
| dc.date.issued | 2022-12-07 | |
| dc.identifier.citation | Guma, D. (2022). The dual of local cohomology modules. (Makir). (Unpublished Masters Thesis). Makerere University, Kampala, Uganda. | en_US |
| dc.identifier.uri | http://hdl.handle.net/10570/11372 | |
| dc.description | A Dissertation Submitted to the Directorate of Research and Graduate Training in Partial Fulfillment of the Requirements for the Award of the Degree of Master of Science in Mathematics of Makerere University. | en_US |
| dc.description.abstract | Let R be a Noetherian commutative local ring with unity, a be an ideal of R and M be an R-module. Local duality is one way of studying local cohomology modules by obtaining their dual modules. When M is a finitely generated Artinian R-module, so is the ith local cohomology module H_a^i (M ). In this study, we base on the work according to Iyengar, et al., (2007) to obtain conditions for which H _a^i (M ) is the Matlis dual of some R-module N. In addition, we establish conditions for which an R-module T is a Matlis dual of H_a^i (M ) and state conditions when T = N. | en_US |
| dc.description.sponsorship | EAUMP | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Makerere University | en_US |
| dc.subject | Local Cohomology | en_US |
| dc.subject | Local duality | en_US |
| dc.title | The dual of local cohomology modules | en_US |
| dc.type | Thesis | en_US |
