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Original Articles

Vanishing of the André-Quillen homology module H2(A, B, G(I))

Pages 2777-2791 | Received 01 Dec 1995, Published online: 03 Nov 2008

References

  • André M. : Méthode Simpliciale en Algèbre Homologique et Algèbre Commutative . Lecture Notes in Mathematics . Springer 1967 32 .
  • André M. : Homologie des algèbres commutatives . Grundlehren . Springer 1974 206 .
  • André M. : Algèbres Graduées Associées et Algèbres Symétriques Plates . Comment. Math. Helvetici 49 ( 1974 ), 277 – 301 .
  • Bourbaki N. : Algèbre. Chapitre 10 . Algèbre homologique . Masson. Paris , 1980 .
  • Bruns W. Vetter U. : Determinantal Rings . Lecture Notes in Math . Springer 1987 1327 .
  • Buchsbaum D. Eisenbud D. : Algebra structures for finite free resolutions and some structure theorems for ideals of codimension three . Amer. J. Math. 99 ( 1977 ), 447 – 485 .
  • Herzog J. : Homological properties of the module of differentials . Coleçaõ Atas Soc. Brasileira de Mat . 14 , ( 1981 ), 33 – 64 .
  • Herzog J. Simis A. Vasconcelos W. V. : Koszul homology and blowing-up rings . Lecture Notes in Pure and Applied Math . 84 , Dekker ( 1982 ), 79 – 169 .
  • Huckaba S. Huneke C. : Powers of ideals having small analytic deviation . Am. J. Math . 114 ( 1992 ), 367 – 403 .
  • Huneke C. : Linkage and the Koszul homology of ideals . Am. J. Math . 104 ( 1982 ), 1043 – 1062 .
  • Kühl M. : On the symmetric algebra of an ideal . Manuscripta Math . 37 ( 1982 ), 49 – 60 .
  • Lyubeznik G. A new explicit finite free resolution of ideals generated by monomials in an R-sequence . J. Pure and Appl. Alg. 51 ( 1988 ), 193 – 195 .
  • Peskine C. Szpiro L. : Liaison des variétés algébriques . Invent. Math. 26 ( 1974 ), 271 – 302 .
  • Planas Vilanova F. : Sur l'annulation du deuxième foncteur de (co)homologie d'André-Quillen . Manuscripta Math. 87 ( 1995 ), 349 – 357 .
  • Planas Vilanova F. : On the vanishing and non-rigidity of the André-Quillen (co)homology . To appear in J. Pure and Appl. Alg.
  • Quillen D. : On the homology of commutative rings. MIT , 1967 .
  • Ulrich B. : Vanishing of Colangent Functors . Math. Z. 196 ( 1987 ), 463 – 484 .
  • Ulrich B. : Lectures on Linkage and Deformation . Workshop on Comm. Alg. 14-25 Sept. 1992 . Trieste.
  • Valla G. : On the symmetric and Rees algebra of an ideal . Manuscripta Math . 30 ( 1980 ), 239 – 255 .
  • Vasconcelos W. V. : Symmetric algebras. Proc. Salvador Commutative Algebra Conf. , Lecture Notes in Math . Springer 1430 . 1990 , 115 – 160 .
  • Vijaylaxmi T. : Bertini theorems for ideals linked to a given ideal . Proc. Indian Acad. Sci. (Math. Sci.) Vol 104 , No. 2 ( 1994 ) 305 – 331 .
  • Villarreal R. : Cohen-Macaulay Graphs . Manuscripta Math . 66 ( 1990 ), 277 – 293 .
  • Watanabe J. : A note on Gorenstein rings of embedding codimension three . Nagoya Math. J. 50 ( 1973 ), 227 – 232 .

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