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Der Endlichkeitssatz in der lokalen Kohomologie. (German) Zbl 0451.13008


MSC:

13D25 Complexes (MSC2000)
13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.)
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
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References:

[1] Brodmann, M.: Piecewise catenarian and going between rings. Pacific J. Math.86, 415-419 (1980) · Zbl 0403.13005
[2] Brodmann, M.: Finiteness of ideal transforms. J. Algebra63, 162-185 (1980) · Zbl 0418.13004 · doi:10.1016/0021-8693(80)90031-9
[3] Faltings, G.: Über die Annullatoren lokaler Kohomologiegruppen. Arch. Math.30, 473-476 (1978) · Zbl 0368.14004 · doi:10.1007/BF01226087
[4] Faltings, G.: Zur Existenz dualisierender Komplexe. Math. Z.162, 75-86 (1978) · Zbl 0379.13007 · doi:10.1007/BF01437825
[5] Grothendieck, A.: Cohomologie locale des faisceaux cohérents et théorémes de Lefschetz locaux et globaux (SGA2). North-Holland: Amsterdam 1968
[6] Grothendieck, A.: Elements de géometrie algébrique. Publ. Math. IHES24, (1965)
[7] Matsumura, H.: Commutative Algebra. New York: Benjamin 1970 · Zbl 0211.06501
[8] Ratliff, L.J. jr.: On quasi-unmixed local domains, the altitude formula and the chain condition for prime ideals. I. Am. J. Math.91, 508-528 (1969) · Zbl 0182.06101 · doi:10.2307/2373524
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