Some splitting theorems for extension and torsion functors of local cohomology modules

DOI10.1016/J.JALGEBRA.2018.01.039zbMath1391.13031OpenAlexW2794187526MaRDI QIDQ1643102

Kazem Khashyarmanesh, Ebrahim Zangoiezadeh

Publication date: 18 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.01.039

zbMATH Keywords

local cohomologytorsion functorsplit exact sequenceextension functorfilter regular element

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (1)

Some splitting theorems for local cohomology modules with respect to a pair of ideals

Cites Work

• A splitting theorem for local cohomology and its applications
• On the finiteness properties of extension and torsion functors of local cohomology modules
• Filter regular sequences and the finiteness of local cohomology modules
• A finiteness result for associated primes of local cohomology modules
• On the associated primes of local cohomology modules
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