CONSTRUCTION OF THE U-PROJECTIVE RESOLUTION AND THE U-EXTENSION MODULE
In a brief article, Davvaz and Parnian-Garamaleky (1999) introduced the idea of -exact sequence which was a generalization of the concept of exact sequence. One of the exact sequence that gets pretty important place in the module theory is the projective resolution. The projective resolutions wer...
Saved in:
| Main Author: | |
|---|---|
| Format: | Dissertations |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/46273 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In a brief article, Davvaz and Parnian-Garamaleky (1999) introduced the idea of -exact sequence which was a generalization of the concept of exact sequence. One of the exact sequence that gets pretty important place in the module theory is the projective resolution. The projective resolutions were used to measure how far a module from being projective. The longer the projective resolution of a module has, the further the module from being projective. The projective resolution is also the raw material of a module called the extension module. These modules induce the Ext functor which fixes the right nonexactness of the Hom functor. This dissertation aims to generalize the concept of projective resolution and extension modules based on the idea of generalizing the concept of exact sequence by Davvaz and Parnian-Garamaleky.
As a contribution to the study of representation theory, the results of the generalization of projective resolution concept obtained were applied to modules over a hereditary algebra where the algebras used are path algebra of types An, An tilde, Dn , and Dn tilde, where each of them can be represented in a quiver form.
|
|---|