Relative Homology and Gorenstein Flat Dimension

2013/07/13 by Sean Sather-Wagstaff, Sather-Wagstaff, Sean, Tirdad Sharif +3
Mathematics · #13C11 #13C12 #13D02 #13D05 #13D07 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #msc:13C11 #msc:13C12 #msc:13D02 #msc:13D05 #msc:13D07

paper · pdf · doi:10.48550/arxiv.1307.3657

19 pages, v.2 adds coauthor

openalex publication_date 2013/07/13 · arxiv created 2013/11/14 · arxiv updated 2013/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the machinery of relative homological algebra to study modules of finite Gorenstein flat dimension.

Related

• Homological dimension based on a class of Gorenstein flat modules
• Homology theories and Gorenstein dimensions for complexes
• A refinement of Gorenstein flat dimension via the flat--cotorsion theory
• Gorenstein homological dimensions and Auslander categories
• Gorenstein dimension of modules over homomorphisms