Modules with finite Cousin cohomologies have uniform local cohomological annihilators
Copyright policy )Modules with finite Cousin cohomologies have uniform local cohomological annihilators
Let A be a Noetherian ring. It is shown that any finite A--module M of finite Krull dimension with finite Cousin complex cohomologies has a uniform local cohomological annihilator. The converse is also true for a finite module M satisfying (S_2) which is over a local ring with Cohen--Macaulay formal fibres.
9 pages, to appear in Journal of Algebra
- Kharazmi University Iran (Islamic Republic of)
Local cohomology, Algebra and Number Theory, 13D45, 13D25, Cousin complexes, Cousin complex, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), local cohomology, universally catenary, Complexes, Local cohomology and commutative rings, equidimensional, 13D25; 13D45, FOS: Mathematics
Local cohomology, Algebra and Number Theory, 13D45, 13D25, Cousin complexes, Cousin complex, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), local cohomology, universally catenary, Complexes, Local cohomology and commutative rings, equidimensional, 13D25; 13D45, FOS: Mathematics
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