2011/04/21 by Satoshi Mochizuki, Mochizuki, Satoshi, Akiyoshi Sannai +1
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1104.4242
openalex publication_date 2011/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main objective of this paper is to generalize a notion of Koszul resolutions and charcterizing modules which admits such a resolution. We turn out that for a noetherian ring A and a coherent A module M, M has a two dimensional generalized Koszul resolution if and only if M is a pure weight two module in the sense of \citeHM09.