2014/12/03 by Vijay Kodiyalam, Kodiyalam, Vijay, Radha Mohan +1 · 2 citations
Chemistry · Mathematics · #13B21 #13B22 #13H05 #13H15 #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Combinatorics #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Composite material #Discrete mathematics #FOS: Mathematics #Field (mathematics) #Finitely-generated abelian group #Geometry #Integrally closed #Local ring #Materials science #Mathematics #Multiplicity (mathematics) #Noetherian #Pure mathematics #Regular local ring #Residue field #Ring (chemistry) #Torsion (gastropod) #math.AC #msc:13B21 #msc:13B22 #msc:13H05 #msc:13H15
paper · pdf · doi:10.48550/arxiv.1412.1404
15 pages
arxiv created 2014/12/03 · openalex publication_date 2014/12/03 · arxiv updated 2014/12/04 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
Let (R, bf m) be a two-dimensional regular local ring with infinite\nresidue field. We prove an analogue of the Hoskin-Deligne length formula for a\nfinitely generated, torsion-free, integrally closed R-module M. As a\nconsequence, we get a formula for the Buchsbaum-Rim multiplicity of F/M,\nwhere F = M**.\n