On the structure of \(S_2\)-ifications of complete local rings

DOI10.1216/RMJ-2018-48-3-947zbMath1393.05149arXiv1401.6146OpenAlexW2962964775MaRDI QIDQ1657787

Sandra Spiroff, Sean K. Sather-Wagstaff

Publication date: 14 August 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6146

zbMATH Keywords

connected componentsgraph labelingmonomial idealscanonical modules\(S_2\)-ifications

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Integral closure of commutative rings and ideals (13B22) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Structure, classification theorems for modules and ideals in commutative rings (13C05) Local cohomology and commutative rings (13D45) Complete rings, completion (13J10)

Related Items (1)

Indecomposability of top local cohomology modules and connectedness of the prime divisors graphs

Cites Work

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• Induced subgraphs of Johnson graphs
• On connectedness and indecomposibility of local cohomology modules
• Some theorems about formal functions
• Regulating Hartshorne's connectedness theorem
• On some local cohomology invariants of local rings
• On the Lyubeznik numbers of a local ring
• On the Dual Graphs of Cohen–Macaulay Algebras
• On the highest Lyubeznik number of a local ring
• Complete Intersections and Connectedness
• On an Endomorphism Ring of Local Cohomology
• Torsion in kernels of induced maps on divisor class groups

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