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Volumn 140, Issue 1, 2000, Pages 143-170

Finite generation of hochschild homology algebras

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EID: 0034349130     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220000051     Document Type: Article
Times cited : (8)

References (34)
  • 1
    • 25844512814 scopus 로고
    • Homologie des algèbres commutatives
    • Springer-Verlag, Berlin
    • 1. M. André, Homologie des algèbres commutatives, Grundlehren Math. Wiss. 206, Springer-Verlag, Berlin, 1974
    • (1974) Grundlehren Math. Wiss. , vol.206
    • André, M.1
  • 2
    • 51249191008 scopus 로고
    • Algèbres graduées associées et algèbres symétriques plates
    • 2. M. André, Algèbres graduées associées et algèbres symétriques plates, Comment. Math. Helv. 49 (1974), 277-301
    • (1974) Comment. Math. Helv. , vol.49 , pp. 277-301
    • André, M.1
  • 3
    • 0001211985 scopus 로고    scopus 로고
    • Infinite free resolutions, in: Six lectures in commutative algebra
    • Birkhäuser, Boston
    • 3. L. L. Avramov, Infinite free resolutions, in: Six lectures in commutative algebra, Bellaterra, 1996, Progress in Math. 166, Birkhäuser, Boston, 1998; pp. 1-118
    • (1998) Bellaterra, 1996, Progress in Math , vol.166 , pp. 1-118
    • Avramov, L.L.1
  • 4
    • 0033235422 scopus 로고    scopus 로고
    • Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology
    • 4. L. L. Avramov, Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology, Ann. of Math. (2) 150 (1999), 455-487
    • (1999) Ann. of Math. ( , vol.150 , Issue.2 , pp. 455-487
    • Avramov, L.L.1
  • 5
    • 0001790636 scopus 로고
    • Through the looking glass: A dictionary between rational homotopy theory and local algebra, in: Algebra, algebraic topology, and their interactions; stockholm, 1983
    • Springer-Verlag, Berlin
    • 5. L. L. Avramov, S. Halperin, Through the looking glass: A dictionary between rational homotopy theory and local algebra, in: Algebra, algebraic topology, and their interactions; Stockholm, 1983, Lecture Notes Math. 1183, Springer-Verlag, Berlin, 1986; pp. 1-27
    • (1986) Lecture Notes Math. , vol.1183 , pp. 1-27
    • Avramov, L.L.1    Halperin, S.2
  • 6
    • 51249175976 scopus 로고
    • On the non-vanishing of cotangent cohomology
    • 6. L. L. Avramov, S. Halperin, On the non-vanishing of cotangent cohomology, Comment. Math. Helv. 62 (1987), 169-184
    • (1987) Comment. Math. Helv. , vol.62 , pp. 169-184
    • Avramov, L.L.1    Halperin, S.2
  • 7
    • 0002158191 scopus 로고
    • Jacobian criteria for complete intersections. The graded case
    • 7. L. L. Avramov, J. Herzog, Jacobian criteria for complete intersections. The graded case, Invent. Math. 117 (1994), 75-88
    • (1994) Invent. Math. , vol.117 , pp. 75-88
    • Avramov, L.L.1    Herzog, J.2
  • 9
    • 0002117507 scopus 로고
    • [in: Duke Math. J. 65 No. 2] (1992), 17-25
    • (1992) Duke Math. J. , vol.65 , Issue.2 , pp. 17-25
  • 10
    • 0002549858 scopus 로고
    • Divided powers and Hochschild homology of complete intersections
    • 9. S. Brüderle, E. Kunz, Divided powers and Hochschild homology of complete intersections, Math. Ann. 299 (1994), 57-76
    • (1994) Math. Ann. , vol.299 , pp. 57-76
    • Brüderle, S.1    Kunz, E.2
  • 11
    • 85081413852 scopus 로고
    • A Hochschild homology criterium for the smoothness of an algebra
    • 10. Buenos Aires Cyclic Homology Group, A Hochschild homology criterium for the smoothness of an algebra, Comment. Math. Helv. 69 (1994), 163-168
    • (1994) Comment. Math. Helv. , vol.69 , pp. 163-168
  • 13
    • 0000685628 scopus 로고
    • Decomposition of cyclic and Hochschild homology of commutative differential graded algebras
    • 12. G. Cortiñas, J. A. Guccione, J. J. Guccione, Decomposition of cyclic and Hochschild homology of commutative differential graded algebras, J. Pure Appl. Algebra 83 (1992), 219-235
    • (1992) J. Pure Appl. Algebra , vol.83 , pp. 219-235
    • Cortiñas, G.1    Guccione, J.A.2    Guccione, J.J.3
  • 14
    • 85037795472 scopus 로고    scopus 로고
    • Finiteness conditions for Hochschild homology algebra and free loop space cohomology algebra
    • 13. M. Dupont, M. Vigué-Poirrier, Finiteness conditions for Hochschild homology algebra and free loop space cohomology algebra, K-Theory, to appear
    • K-Theory
    • Dupont, M.1    Vigué-Poirrier, M.2
  • 15
    • 0002103461 scopus 로고
    • Direct methods for primary decomposition
    • 14. D. Eisenbud, C. Huneke, W. Vasconcelos, Direct methods for primary decomposition, Invent. math. 110 (1992), 207-235
    • (1992) Invent. Math. , vol.110 , pp. 207-235
    • Eisenbud, D.1    Huneke, C.2    Vasconcelos, W.3
  • 16
    • 0002276573 scopus 로고
    • Monomorphismes et morphismes absolument plats
    • 15. D. Ferrand, Monomorphismes et morphismes absolument plats, Bull. Soc. Math. France 100 (1972), 97-128
    • (1972) Bull. Soc. Math. France , vol.100 , pp. 97-128
    • Ferrand, D.1
  • 17
    • 0003274751 scopus 로고
    • Éléments de géométrie algébrique. IV: Élude locale des schémas et des morphismes de schémas (Quatrième partie)
    • 16. A. Grothendieck, Éléments de géométrie algébrique. IV: Élude locale des schémas et des morphismes de schémas (Quatrième partie), Publ. Math. I.H.E.S. 32 (1967)
    • (1967) Publ. Math. I.H.E.S. , vol.32
    • Grothendieck, A.1
  • 19
    • 0000945328 scopus 로고
    • Hochschild homology of complete intersections
    • 18. J. A. Guccione, J. J. Guccione, Hochschild homology of complete intersections, J. Pure Appl. Algebra 74 (1991), 159-176
    • (1991) J. Pure Appl. Algebra , vol.74 , pp. 159-176
    • Guccione, J.A.1    Guccione, J.J.2
  • 21
    • 0000962096 scopus 로고
    • Generalized Koszul complexes and Hochschild homology of locally complete intersections
    • 20. A. Lago, A. G. Rodicio, Generalized Koszul complexes and Hochschild homology of locally complete intersections, Invent. math. 107 (1992), 433-446
    • (1992) Invent. Math. , vol.107 , pp. 433-446
    • Lago, A.1    Rodicio, A.G.2
  • 22
    • 0000491908 scopus 로고
    • Cyclic homology of Dedekind domains
    • 21. M. Larsen, A. Lindenstrauss, Cyclic homology of Dedekind domains, K-Theory 6 (1992), 301-334
    • (1992) K-Theory , vol.6 , pp. 301-334
    • Larsen, M.1    Lindenstrauss, A.2
  • 23
    • 0000465611 scopus 로고
    • Large homomorphisms of local rings
    • 22. G. Levin, Large homomorphisms of local rings, Math. Scand. 46 (1980), 209-215
    • (1980) Math. Scand. , vol.46 , pp. 209-215
    • Levin, G.1
  • 24
    • 0003358374 scopus 로고
    • Cyclic homology
    • Springer-Verlag, Berlin
    • 23. J.-L. Loday, Cyclic homology, Grundlehren Math. Wiss. 301, Springer-Verlag, Berlin, 1992
    • (1992) Grundlehren Math. Wiss. , vol.301
    • Loday, J.-L.1
  • 25
    • 0003341746 scopus 로고
    • Commutative ring theory
    • Univ. Press, Cambridge
    • 24. H. Matsumura, Commutative ring theory, Stud. Adv. Math. 8, Univ. Press, Cambridge, 1986
    • (1986) Stud. Adv. Math. , vol.8
    • Matsumura, H.1
  • 27
    • 0001906757 scopus 로고
    • On the (co-)homology of commutative rings, in: Applications of categorical algebra
    • New York, Amer. Math. Soc., Providence, RI
    • 26. D. Quillen, On the (co-)homology of commutative rings, in: Applications of categorical algebra; New York, 1968, Proc. Symp. Pure Math. 17, Amer. Math. Soc., Providence, RI, 1970; pp. 65-87
    • (1968) Proc. Symp. Pure Math. , vol.17 , pp. 65-87
    • Quillen, D.1
  • 28
    • 51249178402 scopus 로고
    • Smooth algebras and the vanishing of Hochschild homology
    • 27. A. G. Rodicio, Smooth algebras and the vanishing of Hochschild homology, Comment. Math. Helv. 65 (1990), 474-477
    • (1990) Comment. Math. Helv. , vol.65 , pp. 474-477
    • Rodicio, A.G.1
  • 29
    • 0001167778 scopus 로고
    • On the rigidity of the generalized Koszul complexes with applications to Hochschild homology
    • 28. A. G. Rodicio, On the rigidity of the generalized Koszul complexes with applications to Hochschild homology, J. Algebra 167 (1994), 343-347
    • (1994) J. Algebra , vol.167 , pp. 343-347
    • Rodicio, A.G.1
  • 30
    • 0002363337 scopus 로고
    • Commutative augmented algebras with two vanishing homology modules
    • 29. A. G. Rodicio, Commutative augmented algebras with two vanishing homology modules, Adv. Math. 111 (1995), 162-165
    • (1995) Adv. Math. , vol.111 , pp. 162-165
    • Rodicio, A.G.1
  • 31
    • 84972519595 scopus 로고
    • Homology of noetherian rings and local rings
    • 30. J. Tate, Homology of noetherian rings and local rings, Illinois J. Math. 1 (1957), 14-25
    • (1957) Illinois J. Math. , vol.1 , pp. 14-25
    • Tate, J.1
  • 32
    • 0001329702 scopus 로고
    • Critères de nullité pour l'homologie des algèbres graduées
    • 31. M. Vigué-Poirrier, Critères de nullité pour l'homologie des algèbres graduées, C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), 647-649
    • (1993) C. R. Acad. Sci. Paris Sér. I Math. , vol.317 , pp. 647-649
    • Vigué-Poirrier, M.1
  • 33
    • 0032162249 scopus 로고    scopus 로고
    • Finiteness conditions for the Hochschild homology algebra of a commutative algebra
    • 32. M. Vigué-Poirrier, Finiteness conditions for the Hochschild homology algebra of a commutative algebra, J. Algebra 207 (1998), 333-341
    • (1998) J. Algebra , vol.207 , pp. 333-341
    • Vigué-Poirrier, M.1
  • 34
    • 0002643983 scopus 로고
    • The Hochschild homology of complete intersections
    • 33. K. Wolffhardt, The Hochschild homology of complete intersections, Trans. Amer. Math. Soc. 171 (1972), 51-66
    • (1972) Trans. Amer. Math. Soc. , vol.171 , pp. 51-66
    • Wolffhardt, K.1


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