Hochschild homology of complete intersections and smoothness

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.

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Detalles Bibliográficos
Autores principales: Guccione, J.A., Guccione, J.J.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00224049_v95_n2_p131_Guccione
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Descripción
Sumario: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.