2012/04/20 by Tokuji Araya, Araya, Tokuji
Mathematics · #13D05 #13D07 #13H10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AC #msc:13D05 #msc:13D07 #msc:13H10
paper · pdf · doi:10.48550/arxiv.1204.4513
7pages
arxiv created 2012/04/20 · openalex publication_date 2012/04/20 · arxiv updated 2012/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
There are many homological dimensions which are closely related to ring theoretic properties. The notion of a AB ring has been introduced by Huneke and Jorgensen. It has nice homological properties. In this paper, we shall define a homological dimension which is closely related to a AB ring, and investigate its properties.