Local Homology with Respect to a Pair of Ideals

2015/03/17 by V. H. Jorge Pérez, V. H. Jorge Perez, Perez, V. H. Jorge +3
Mathematics · #13D45 #16E30 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AC #msc:13D45 #msc:16E30

paper · pdf · doi:10.48550/arxiv.1503.05137

we increased new results

openalex publication_date 2015/03/17 · arxiv created 2015/04/28 · arxiv updated 2015/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a generalization of the notion of local homology module, which we call a local homology module with respect to a pair of ideals (I,J), and study its various properties such as vanishing, co-support and co-associated. We also discuss its connection with ordinary local homology.

Citations

• Duality over complete local rings

Related

• Local cohomology based on a nonclosed support defined by a pair of ideals
• Formal local homology
• Local Homology and Local Cohomology
• Some results on the local cohomology modules with respect to a pair of ideals
• Some properties of generalized local cohomology modules with respect to a pair of ideals