Ionescu, Restuccia, Utano: Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension

Ionescu, Cristodor and Restuccia, Gaetana and Utano, Rosanna:
Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension
Bollettino dell'Unione Matematica Italiana Serie 8 10-B (2007), fasc. n.3, p. 681-696, Unione Matematica Italiana (English)
pdf (399 Kb), djvu (141 Kb). | MR 2351537 | Zbl 1177.13021

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Sia $E$ un $R$-modulo finitamente generato, di dimensione proiettiva finita. Studiamo l'aciclicità del complesso di approssimazione $\mathcal{Z}(E)$ di $E$ in termini di certe condizioni Fitting $F_k^{(i)}$ sugli ideali Fitting dell'$i$-esimo modulo di una risoluzione proiettiva di $E$. Ne deduciamo alcune buone proprietà dell'algebra simmetrica di $E$.

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Referenze Bibliografiche