Complete intersection dimension

Abstract A new homological invariant is introduced for a finite module over a commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained for modules of finite CI-dimension, providing the first class of modules of (possibly) infinite projecti...
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Autor*in:	Avramov, Luchezar L. [verfasserIn] Gasharov, Vesselin N. Peeva, Irena V.

Format:	Artikel
Sprache:	Englisch

Erschienen:	1997

Schlagwörter:	Exact Sequence Spectral Sequence Local Ring Complete Intersection Projective Dimension

Systematik:	SA 7684 SA 7684

Anmerkung:	© Publications Mathématiques de L’I.H.É.S. 1997

Übergeordnetes Werk:	Enthalten in: Publications mathématiques - Springer-Verlag, 1959, 86(1997), 1 vom: Dez., Seite 67-114
Übergeordnetes Werk:	volume:86 ; year:1997 ; number:1 ; month:12 ; pages:67-114

Links:	Volltext

DOI / URN:	10.1007/BF02698901

Katalog-ID:	OLC2072739098

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spelling	10.1007/BF02698901 doi (DE-627)OLC2072739098 (DE-He213)BF02698901-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 7684 VZ rvk SA 7684 SI 300 VZ rvk Avramov, Luchezar L. verfasserin aut Complete intersection dimension 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Publications Mathématiques de L’I.H.É.S. 1997 Abstract A new homological invariant is introduced for a finite module over a commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained for modules of finite CI-dimension, providing the first class of modules of (possibly) infinite projective dimension with a rich structure theory of free resolutions. Exact Sequence Spectral Sequence Local Ring Complete Intersection Projective Dimension Gasharov, Vesselin N. aut Peeva, Irena V. aut Enthalten in Publications mathématiques Springer-Verlag, 1959 86(1997), 1 vom: Dez., Seite 67-114 (DE-627)129855871 (DE-600)281542-4 (DE-576)015159701 0073-8301 nnns volume:86 year:1997 number:1 month:12 pages:67-114 https://doi.org/10.1007/BF02698901 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 SA 7684 SA 7684 AR 86 1997 1 12 67-114
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allfieldsGer	10.1007/BF02698901 doi (DE-627)OLC2072739098 (DE-He213)BF02698901-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 7684 VZ rvk SA 7684 SI 300 VZ rvk Avramov, Luchezar L. verfasserin aut Complete intersection dimension 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Publications Mathématiques de L’I.H.É.S. 1997 Abstract A new homological invariant is introduced for a finite module over a commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained for modules of finite CI-dimension, providing the first class of modules of (possibly) infinite projective dimension with a rich structure theory of free resolutions. Exact Sequence Spectral Sequence Local Ring Complete Intersection Projective Dimension Gasharov, Vesselin N. aut Peeva, Irena V. aut Enthalten in Publications mathématiques Springer-Verlag, 1959 86(1997), 1 vom: Dez., Seite 67-114 (DE-627)129855871 (DE-600)281542-4 (DE-576)015159701 0073-8301 nnns volume:86 year:1997 number:1 month:12 pages:67-114 https://doi.org/10.1007/BF02698901 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 SA 7684 SA 7684 AR 86 1997 1 12 67-114
allfieldsSound	10.1007/BF02698901 doi (DE-627)OLC2072739098 (DE-He213)BF02698901-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 7684 VZ rvk SA 7684 SI 300 VZ rvk Avramov, Luchezar L. verfasserin aut Complete intersection dimension 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Publications Mathématiques de L’I.H.É.S. 1997 Abstract A new homological invariant is introduced for a finite module over a commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained for modules of finite CI-dimension, providing the first class of modules of (possibly) infinite projective dimension with a rich structure theory of free resolutions. Exact Sequence Spectral Sequence Local Ring Complete Intersection Projective Dimension Gasharov, Vesselin N. aut Peeva, Irena V. aut Enthalten in Publications mathématiques Springer-Verlag, 1959 86(1997), 1 vom: Dez., Seite 67-114 (DE-627)129855871 (DE-600)281542-4 (DE-576)015159701 0073-8301 nnns volume:86 year:1997 number:1 month:12 pages:67-114 https://doi.org/10.1007/BF02698901 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 SA 7684 SA 7684 AR 86 1997 1 12 67-114
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author	Avramov, Luchezar L.
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title	Complete intersection dimension
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title_full	Complete intersection dimension
author_sort	Avramov, Luchezar L.
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author_browse	Avramov, Luchezar L. Gasharov, Vesselin N. Peeva, Irena V.
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title_sort	complete intersection dimension
title_auth	Complete intersection dimension
abstract	Abstract A new homological invariant is introduced for a finite module over a commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained for modules of finite CI-dimension, providing the first class of modules of (possibly) infinite projective dimension with a rich structure theory of free resolutions. © Publications Mathématiques de L’I.H.É.S. 1997
abstractGer	Abstract A new homological invariant is introduced for a finite module over a commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained for modules of finite CI-dimension, providing the first class of modules of (possibly) infinite projective dimension with a rich structure theory of free resolutions. © Publications Mathématiques de L’I.H.É.S. 1997
abstract_unstemmed	Abstract A new homological invariant is introduced for a finite module over a commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained for modules of finite CI-dimension, providing the first class of modules of (possibly) infinite projective dimension with a rich structure theory of free resolutions. © Publications Mathématiques de L’I.H.É.S. 1997
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title_short	Complete intersection dimension
url	https://doi.org/10.1007/BF02698901
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author2	Gasharov, Vesselin N. Peeva, Irena V.
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