| dc.contributor.author | Masaba, Patrick | |
| dc.date.accessioned | 2024-11-15T08:04:26Z | |
| dc.date.available | 2024-11-15T08:04:26Z | |
| dc.date.issued | 2024-11-14 | |
| dc.identifier.citation | Masaba, P.(2024)Local Cohomology Without Direct Limits and Local Homology Without Inverse Limits.(Makir) (Unpublished Masters Thesis). Makerere University, Kampala Uganda | en_US |
| dc.identifier.uri | http://hdl.handle.net/10570/13683 | |
| 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 | In this dissertation, we study the computation of local cohomology and local homology
of R-modules without using direct limits and inverse limits respectively. We construct
subcategories, C of R-Mod such that the I-torsion functor ΓI (−) is isomorphic to a single left
exact additive functor F(−). This simplifies the computation of local cohomology module
with respect to the ideal I of R. On the other hand, we construct subcategories, D of R-Mod
such that the I-adic completion functor ΛI (−) is isomorphic to a single right exact additive
functor G(−). This simplifies the computation of local homology modules with respect to
the ideal I of R | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Makerere University. | en_US |
| dc.subject | Local (co)homology | en_US |
| dc.subject | Category Theory | en_US |
| dc.subject | Local cohomology | en_US |
| dc.subject | Local homology | en_US |
| dc.subject | Module Theory | en_US |
| dc.subject | Ring Theory | en_US |
| dc.title | Local Cohomology Without Direct Limits and Local Homology Without Inverse Limits | en_US |
| dc.type | Thesis | en_US |
