Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension

Cristodor Ionescu; Gaetana Restuccia; Rosanna Utano

Bollettino dell'Unione Matematica Italiana (2007)

  • Volume: 10-B, Issue: 3, page 681-696
  • ISSN: 0392-4041

Abstract

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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 .

How to cite

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Ionescu, Cristodor, Restuccia, Gaetana, and Utano, Rosanna. "Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 681-696. <http://eudml.org/doc/290375>.

@article{Ionescu2007,
abstract = {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 $E$.},
author = {Ionescu, Cristodor, Restuccia, Gaetana, Utano, Rosanna},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {681-696},
publisher = {Unione Matematica Italiana},
title = {Fitting Conditions for Symmetric Algebras of Modules of Finite Projective Dimension},
url = {http://eudml.org/doc/290375},
volume = {10-B},
year = {2007},
}

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 dell'Unione Matematica Italiana
DA - 2007/10//
PB - Unione Matematica Italiana
VL - 10-B
IS - 3
SP - 681
EP - 696
AB - 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 $E$.
LA - eng
UR - http://eudml.org/doc/290375
ER -

References

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