| dc.contributor.author | Feickert, Aaron James | |
| dc.description.abstract | Projective and injective modules are of key importance in algebra, in part because of their useful homological properties. The notion of C-projective and C-injective modules generalizes these constructions. In particular, these modules may be used to construct resolutions and define related homological dimensions in a natural way. When C is a semidualizing module, the C-projective and C-injective modules have particularly useful homological properties. Further, one may combine projective and C-projective resolutions to construct complete PC-resolutions (and, dually, complete IC-resolutions) that yield other modules with nice homological properties. This paper surveys some of the literature on these constructions. | en_US |
| dc.publisher | North Dakota State University | en_US |
| dc.rights | NDSU Policy 190.6.2 | |
| dc.title | Resolutions and Semidualizing Modules | en_US |
| dc.type | Master's paper | en_US |
| dc.date.accessioned | 2014-04-08T18:19:39Z | |
| dc.date.available | 2014-04-08T18:19:39Z | |
| dc.date.issued | 2014 | |
| dc.identifier.uri | http://hdl.handle.net/10365/23139 | |
| dc.subject.lcsh | Local rings. | en_US |
| dc.subject.lcsh | Injective modules (Algebra) | en_US |
| dc.subject.lcsh | Projective modules (Algebra) | en_US |
| dc.subject.lcsh | Homology theory. | en_US |
| dc.subject.lcsh | Algebra, Homological. | en_US |
| dc.rights.uri | https://www.ndsu.edu/fileadmin/policy/190.pdf | |
| ndsu.degree | Master of Science (MS) | en_US |
| ndsu.college | Science and Mathematics | en_US |
| ndsu.department | Mathematics | en_US |
| ndsu.program | Mathematics | en_US |
| ndsu.advisor | Sather-Wagstaff, Sean | |
