Kamran Divaani-Aazar, Alireza Hajikarimi
Abstract
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Abstract Let a be an ideal of a commutative Noetherian ring R and M and N two finitely generated R-modules. Our main result asserts that if dim R/a ≤ 1, then all generalized local cohomology modules (M,N) are a-cofinite.
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Abstract Let a be an ideal of a commutative Noetherian ring R and M and N two finitely generated R-modules. Our main result asserts that if dim R/a ≤ 1, then all generalized local cohomology modules (M,N) are a-cofinite.
Key concepts: Mathematics, Local cohomology, Noetherian ring, Commutative property, Pure mathematics, Ideal (ethics), Finitely-generated abelian group, Noetherian