Global dimensions of rings with respect to a semidualizing module
Abstract
In this paper, the notion of strongly GC-projective and injective modules is introduced, where C is a semidualizing module. Using these modules we can obtain a new characterization of GC-projective and injective modules, similar to the one of projective modules by the free modules. We then define and study the global dimensions of rings relative to a semidualizing module C, and prove that the global GC-projective dimension of a ring R is equal to the global GC-injective dimension of R.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.