2007/06/23 by Petter Andreas Bergh, Bergh, Petter Andreas
Mathematics · #13D02 #13D07 #13H10 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.0706.3451
openalex publication_date 2007/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A method is provided for computing an upper bound of the complexity of a module over a local ring, in terms of vanishing of certain cohomology modules. We then specialize to complete intersections, which are precisely the rings over which all modules have finite complexity.