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Artinianness of local cohomology modules

2008/09/22 by Moharram Aghapournahr, Aghapournahr, Moharram, Leif Melkersson +1
Mathematics · #13D07 #13D45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0809.3814

openalex publication_date 2008/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A be a noetherian ring, \fa an ideal of A, and M an A--module. Some uniform theorems on the artinianness of certain local cohomology modules are proven in a general situation. They generalize and imply previous results about the artinianness of some special local cohomology modules in the graded case.

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