2013/07/02 by Guoqiang Zhao, Zhao, Guoqiang, Juxiang Sun +1
Mathematics · #13D02 #13D05 #13D07 #18G25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:13D02 #msc:13D05 #msc:13D07 #msc:18G25
paper · pdf · doi:10.48550/arxiv.1307.0628
10 pages
arxiv created 2013/07/02 · openalex publication_date 2013/07/02 · arxiv updated 2013/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.