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Abstract:

Let k be an arbitrary commutative ring, A a smooth k-algebra and {a1,...,am}⊆A a regular sequence. We compute the Hochschild (co)-homology of the k-algebra A|〈a1,...,am〉. As an application we obtain some criteria of smoothness for this type of algebras. © 1994.

Registro:

Documento: Artículo
Título:Hochschild homology of complete intersections and smoothness
Autor:Guccione, J.A.; Guccione, J.J.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellon 1-Ciudad Universitaria, Pabellon 1-Ciudad Universitaria, Argentina
Año:1994
Volumen:95
Número:2
Página de inicio:131
Página de fin:150
DOI: http://dx.doi.org/10.1016/0022-4049(94)90070-1
Título revista:Journal of Pure and Applied Algebra
Título revista abreviado:J. Pure Appl. Algebra
ISSN:00224049
CODEN:JPAAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v95_n2_p131_Guccione

Referencias:

  • André, Algèbres graduées associées et algèbres symétriques plates (1974) Comment. Math. Helv., 49, pp. 277-301
  • Avramov, Vigué-Poirrier, Hochschild homology criteria for smoothness (1992) International Mathematics Research Notices, 1, pp. 17-25
  • (1992) Duke Math. J., 65 (1)
  • BACH (Buenos Aires Cyclic Homology Group), A Hochschild homology criterium for smoothness; Burghelea, Vigué-Poirrier, Cyclic Homology of Commutative Algebras (1988) Lecture Notes in Mathematics, 1318, pp. 51-72. , Comment. Math. Helv., Springer, Berlin, to appear
  • Cortiñas, Guccione, Guccione, Decomposition of the cyclic and Hochschild homology of chain commutative differential graded algebras (1992) J. Pure Appl. Algebra, 83, pp. 219-235
  • Feigin, Tsygan, Additive K-theory and cristalline cohomology (1985) Functional Anal. Appl., 19, pp. 124-132
  • Guccione, Guccione, Hochschild homology of complete intersections (1991) J. Pure Appl. Algebra, 74, pp. 159-176
  • Kunz, Kähler Differentials (1986) Advanced Lectures in Mathematics, , Vieweg, Braunschweig
  • Lago, Rodicio, Generalized Kozsul complexes and Hochschild (co)-homology of complete intersections (1992) Invent. Math., 107, pp. 433-446
  • Majadas, Rodicio, On the vanishing of Hochschild homology of locally complete intersections (1991) Math. Ann., 289, pp. 85-87
  • Matsumura, (1980) Commutative Algebra, , 2nd ed., Benjamin, Reading, MA
  • Rodicio, Smooth algebras and vanishing of Hochschild homology (1990) Comment. Math. Helv., 65, pp. 474-477
  • A. Rodicio, On the rigidity of the generalized Koszul complexes with applications to Hochschild homology, Preprint; Wolffhardt, The Hochschild homology of complete intersections (1972) Transactions of the American Mathematical Society, 171, pp. 51-66

Citas:

---------- APA ----------
Guccione, J.A. & Guccione, J.J. (1994) . Hochschild homology of complete intersections and smoothness. Journal of Pure and Applied Algebra, 95(2), 131-150.
http://dx.doi.org/10.1016/0022-4049(94)90070-1
---------- CHICAGO ----------
Guccione, J.A., Guccione, J.J. "Hochschild homology of complete intersections and smoothness" . Journal of Pure and Applied Algebra 95, no. 2 (1994) : 131-150.
http://dx.doi.org/10.1016/0022-4049(94)90070-1
---------- MLA ----------
Guccione, J.A., Guccione, J.J. "Hochschild homology of complete intersections and smoothness" . Journal of Pure and Applied Algebra, vol. 95, no. 2, 1994, pp. 131-150.
http://dx.doi.org/10.1016/0022-4049(94)90070-1
---------- VANCOUVER ----------
Guccione, J.A., Guccione, J.J. Hochschild homology of complete intersections and smoothness. J. Pure Appl. Algebra. 1994;95(2):131-150.
http://dx.doi.org/10.1016/0022-4049(94)90070-1