Ionescu, Cristodor; Restuccia, Gaetana; Utano, Rosanna Fitting conditions for symmetric algebras of modules of finite projective dimension. (English) Zbl 1177.13021 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 10, No. 3, 681-696 (2007). Summary: Let \(E\) be a finitely generated \(R\)-module, having finite projective dimension. We study the acyclicity of the approximation complex \(\mathcal{Z} (E)\) 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 \(E\). MSC: 13Cxx Theory of modules and ideals in commutative rings PDFBibTeX XMLCite \textit{C. Ionescu} et al., Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 10, No. 3, 681--696 (2007; Zbl 1177.13021)