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A note on the local homology
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Abstract
Let A be Noetherian ring, fa=(r_1,dots,r_n) an ideal of Aand mathcal C_A be category of A-modules andA-homomorphisms. We show that the connected left sequences ofcovariant functors {underset{tinBN}{vpl}H_i(K_bullet(fr^t,-))}_{igeq 0} and{underset{tinBN}{vpl}Tor_i^A(frac{A}{fa^t},-)}_{igeq0} are isomorphic {linebreak}from mathcal C_A to itself,where fr^t=r_1^t,dots,r_n^t.
참고문헌 (10)
- "The theory of local homology forArtinian modules", 24(1), pp.31~ (2000)
- "The Koszul complex and duality", 1, pp.87~ (1974)
- "J.Algebra 50(1978", no. 1
- "An introduction to homologicalalgebra" (1960), Cambridge University Press
- "Some homological properties of complete modules", 108(2), pp.231~ (1990)
- "Adic completion and some dual homologicalresults", 36(2b), pp.965~ (1992)
- "Homological questions in localalgebra" (1990), CambridgeUniversity Press
- "Local homology theory for Artinian modules", 22(5), pp.1675~ (1994)
- "An introduction to homologicalAlgebra" (1994), Cambridge University Press
- "An introduction to homologicalAlgebra" (1994), Cambridge University Press
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