Geodesic
Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 681-696

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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 $E$. 
@article{BUMI_2007_8_10B_3_a13,
     author = {Ionescu, Cristodor and Restuccia, Gaetana and Utano, Rosanna},
     title = {Fitting {Conditions} for {Symmetric} {Algebras} of {Modules} of {Finite} {Projective} {Dimension}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {681--696},
     publisher = {mathdoc},
     volume = {Ser. 8, 10B},
     number = {3},
     year = {2007},
     zbl = {1177.13021},
     mrnumber = {2351537},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a13/}
}
TY  - JOUR
AU  - Ionescu, Cristodor
AU  - Restuccia, Gaetana
AU  - Utano, Rosanna
TI  - Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension
JO  - Bollettino della Unione matematica italiana
PY  - 2007
SP  - 681
EP  - 696
VL  - 10B
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a13/
LA  - en
ID  - BUMI_2007_8_10B_3_a13
ER  - 
%0 Journal Article
%A Ionescu, Cristodor
%A Restuccia, Gaetana
%A Utano, Rosanna
%T Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension
%J Bollettino della Unione matematica italiana
%D 2007
%P 681-696
%V 10B
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a13/
%G en
%F BUMI_2007_8_10B_3_a13
Ionescu, Cristodor; Restuccia, Gaetana; Utano, Rosanna. Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 681-696. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a13/