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.
In: Journal of Algebra, Vol. 302, No. 1, 2006, p. 231-279.Research output: Contribution to journal › Journal article › Research › peer-review
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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