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Hochschild (co)homology in commutative algebra. A survey.

Ionescu, Cristodor — 2001

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension

Cristodor Ionescu; Gaetana Restuccia; Rosanna 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 $\mathcal{Z}(E)$ 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 $E$ .

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