Date of Award
2014
Publisher
North Dakota State University
Document Type
Master's Paper
Degree Awarded
Master of Science (MS)
Program
Mathematics
Department
Mathematics
College
Science and Mathematics
Faculty Advisor
Sather-Wagstaff, Sean
Description
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.
Recommended Citation
Feickert, Aaron James, "Resolutions and Semidualizing Modules" (2014). Mathematics. 28.
https://digitalcommons.ndsu.edu/mathematics/28
Rights
NDSU Policy 190.6.2
Rights Link
https://www.ndsu.edu/fileadmin/policy/190.pdf
Handle Identifier
https://hdl.handle.net/10365/23139