Artinian cofinite top local cohomology modules on derived category

2021 ◽  
pp. 1-8
Author(s):  
Nguyen Minh Tri
Keyword(s):  
Local Cohomology ◽  
Derived Category ◽  
Local Cohomology Modules ◽  
Cohomology Modules

scholarly journals The derived category analogues of Faltings Local-global Principle and Annihilator Theorems

2019 ◽  
Vol 18 (07) ◽  
pp. 1950140 ◽  
Author(s):  
Kamran Divaani-Aazar ◽  
Majid Rahro Zargar
Keyword(s):  
Closed Subset ◽  
Local Cohomology ◽  
Derived Category ◽  
Finitely Generated ◽  
Local Cohomology Modules ◽  
Bounded Complex ◽  
Cohomology Modules ◽  
Global Principle

Let [Formula: see text] be a specialization closed subset of Spec R and X a homologically left-bounded complex with finitely generated homologies. We establish Faltings’ Local-global Principle and Annihilator Theorems for the local cohomology modules [Formula: see text] Our versions contain variations of results already known on these theorems.

scholarly journals Artinianness of local cohomology modules

2014 ◽  
Vol 52 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Moharram Aghapournahr ◽  
Leif Melkersson
Keyword(s):  
Local Cohomology ◽  
Local Cohomology Modules ◽  
Cohomology Modules

On the associated primes of local cohomology modules

1999 ◽  
Vol 27 (12) ◽  
pp. 6191-6198 ◽  
Author(s):  
K. Khashyarmanesh ◽  
Sh Salarian
Keyword(s):  
Local Cohomology ◽  
Associated Primes ◽  
Local Cohomology Modules ◽  
Cohomology Modules

Some properties of local homology and local cohomology modules

2013 ◽  
Vol 50 (1) ◽  
pp. 129-141
Author(s):  
Tran Nam
Keyword(s):  
Local Cohomology ◽  
Local Homology ◽  
Local Cohomology Modules ◽  
Cohomology Modules ◽  
Compact Module

We study some properties of representable or I-stable local homology modules HiI (M) where M is a linearly compact module. By duality, we get some properties of good or at local cohomology modules HIi (M) of A. Grothendieck.

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