2009/04/20 by Guoqiang Zhao, Zhao, Guoqiang, Zhaoyong Huang +1
Mathematics · Physics and Astronomy · #16E05 #16E10 #16E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.0904.3045
openalex publication_date 2009/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study the relation between m-strongly Gorenstein projective (resp. injective) modules and n-strongly Gorenstein projective (resp. injective) modules whenever m ≠ n, and the homological behavior of n-strongly Gorenstein projective (resp. injective) modules. We introduce the notion of n-strongly Gorenstein flat modules. Then we study the homological behavior of n-strongly Gorenstein flat modules, and the relation between these modules and n-strongly Gorenstein projective (resp. injective) modules.