On Gorenstein projective, injective and flat dimensions: a functorial description with applications

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On Gorenstein projective, injective and flat dimensions : a functorial description with applications. / Christensen, Lars Winther; Frankild, Anders Juel; Holm, Henrik Granau.

I: Journal of Algebra, Bind 302, Nr. 1, 2006, s. 231-279.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Christensen, LW, Frankild, AJ & Holm, HG 2006, 'On Gorenstein projective, injective and flat dimensions: a functorial description with applications', Journal of Algebra, bind 302, nr. 1, s. 231-279.

APA

Christensen, L. W., Frankild, A. J., & Holm, H. G. (2006). On Gorenstein projective, injective and flat dimensions: a functorial description with applications. Journal of Algebra, 302(1), 231-279.

Vancouver

Christensen LW, Frankild AJ, Holm HG. On Gorenstein projective, injective and flat dimensions: a functorial description with applications. Journal of Algebra. 2006;302(1):231-279.

Author

Christensen, Lars Winther ; Frankild, Anders Juel ; Holm, Henrik Granau. / On Gorenstein projective, injective and flat dimensions : a functorial description with applications. I: Journal of Algebra. 2006 ; Bind 302, Nr. 1. s. 231-279.

Bibtex

@article{53798abb1c4a4370a7175b653ce14e22,
title = "On Gorenstein projective, injective and flat dimensions: a functorial description with applications",
abstract = "Gorenstein homological dimensions are refinements of the classical homological dimensions, and finiteness singles out modules with amenable properties reflecting those of modules over Gorenstein rings. As opposed to their classical counterparts, these dimensions do not immediately come with practical and robust criteria for finiteness, not even over commutative noetherian local rings. In this paper we enlarge the class of rings known to admit good criteria for finiteness of Gorenstein dimensions: ",
author = "Christensen, {Lars Winther} and Frankild, {Anders Juel} and Holm, {Henrik Granau}",
year = "2006",
language = "English",
volume = "302",
pages = "231--279",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press",
number = "1",

}

RIS

TY - JOUR

T1 - On Gorenstein projective, injective and flat dimensions

T2 - a functorial description with applications

AU - Christensen, Lars Winther

AU - Frankild, Anders Juel

AU - Holm, Henrik Granau

PY - 2006

Y1 - 2006

N2 - Gorenstein homological dimensions are refinements of the classical homological dimensions, and finiteness singles out modules with amenable properties reflecting those of modules over Gorenstein rings. As opposed to their classical counterparts, these dimensions do not immediately come with practical and robust criteria for finiteness, not even over commutative noetherian local rings. In this paper we enlarge the class of rings known to admit good criteria for finiteness of Gorenstein dimensions:

AB - Gorenstein homological dimensions are refinements of the classical homological dimensions, and finiteness singles out modules with amenable properties reflecting those of modules over Gorenstein rings. As opposed to their classical counterparts, these dimensions do not immediately come with practical and robust criteria for finiteness, not even over commutative noetherian local rings. In this paper we enlarge the class of rings known to admit good criteria for finiteness of Gorenstein dimensions:

M3 - Journal article

VL - 302

SP - 231

EP - 279

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -

ID: 41928178