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Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension

Cristodor IonescuGaetana RestucciaRosanna Utano — 2007

Bollettino dell'Unione Matematica Italiana

Let E be a finitely generated R -module, having finite projective dimension. We study the acyclicity of the approximation complex 𝒵 ( E ) of E in terms of certain Fitting conditions F k ( i ) on the Fitting ideals of the i -th module of a projective resolution of E . We deduce some good properties of the symmetric algebra of E .

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