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Resolutions and Semidualizing Modules

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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.title Resolutions and Semidualizing Modules en_US
dc.date.accessioned 2014-04-08T18:19:39Z
dc.date.available 2014-04-08T18:19:39Z
dc.date.issued 2014-04-08
dc.identifier.uri http://hdl.handle.net/10365/23139
dc.thesis.degree Paper (M.S.)--North Dakota State University, 2014. en_US
dc.contributor.advisor Sather-Wagstaff, Sean
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.subject.lcsh Local rings.
dc.creator.author Feickert, Aaron James
dc.degree.departmentCollege Master of Science / Mathematics, College of Science and Mathematics, 2014.
dc.date.created 2014

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