2013/05/29 by Satoshi Mochizuki, Mochizuki, Satoshi, Seidai Yasuda +1
Mathematics · #Algebraic structures and combinatorial models #Category Theory (math.CT) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AC #math.CT #math.KT
paper · pdf · doi:10.48550/arxiv.1305.6794
openalex publication_date 2013/05/29 · arxiv created 2014/11/03 · arxiv updated 2014/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we give a sufficient condition which makes the total complex of a cube exact. This can be regarded as a variant of the Buchsbaum-Eisenbud theorem which gives a characterization of what makes a complex of finitely generated free modules exact in terms of the grade of the Fitting ideals of boundary maps of the complex.